Well, despite attempts to spin/interpret your interpreter, both the CCC and your "bishops" says that Muslim worship the same god as Catholics, and with the USCCB promoting egregious ecumenicism towards Muslims.
Second Vatican Council, Lumen Gentium 16, November 21, 1964 “But the plan of salvation also includes those who acknowledge the Creator, in the first place among whom are the Muslims: these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankind’s judge on the last day .”
Note that this does not say Muslims simply profess to adore the one, merciful God, but that they worship the same one, merciful God of Catholics.
In Nostra Aetate Rome also says Muslims the worship the same God as Catholics, "They worship God, who is one, living and subsistent, merciful and almighty, the Creator of heaven and earth ." And "They strive to submit themselves without reserve to the hidden decrees of God, just as Abraham submitted himself to God’s plan , to whose faith Muslims eagerly link their own. " -Second Vatican Council, Nostra Aetate 3, October 28, 1965
And with Allah, we are not dealing with an utterly ambiguous "unknown god" as in Acts 17, which had no express revelation and could be said to represent the true God they were looking for. But Allah is a theologically defined as a distinct God, and in the name of this false deity are the contradictory and skewed Biblical stories of the Qur'an, besides adding its own, and which denies the very essence of the gospel, that of the Divine Son of God procuring salvation with His own sinless shed blood! Yet again and again popes comfort Muslims by assuring them they have the true God, while any gospel is largely replaced by platitudes for peace.
The American bishops have this to add:
We feel sure that as representatives of Islam, you join in our prayers to the Almighty, that he may grant all African believers the desire for pardon and reconciliation so often commended in the Gospels and in the Qur’an... We gladly recall also those confessors of the Muslim faith who were the first to suffer death, in the year 1848, for refusing to transgress the precepts of their religion.” — Paul VI, address to the Islamic communities of Uganda, August 1, 1969.
“I deliberately address you as brothers: that is certainly what we are, because we are members of the same human family, whose efforts, whether people realize it or not, tend toward God and the truth that comes from him. But we are especially brothers in God, who created us and whom we are trying to reach, in our own ways, through faith, prayer and worship, through the keeping of his law and through submission to his designs...
“Dear Muslims, my brothers: I would like to add that we Christians, just like you, seek the basis and model of mercy in God himself, the God to whom your Book gives the very beautiful name of al-Rahman, while the Bible calls him al-Rahum, the Merciful One.” - John Paul II, address to representatives of Muslims of the Philippines, February 20, 1981
“As Christians and Muslims, we encounter one another in faith in the one God, our Creator and guide, our just and merciful judge. - John Paul II, address to representatives of the Muslims of Belgium, May 19, 1985
We believe in the same God, the one God, the living God, the God who created the world and brings his creatures to their perfection...Both of us believe in one God, the only God, - John Paul II , address to the young Muslims of Morocco, August 19, 1985
Christians and Muslims, together with the followers of the Jewish religion, belong to what can be called ‘the tradition of Abraham.’..Our Creator and our final judge desires that we live together. Our God is a God of peace, who desires peace among those who live according to His commandments. Our God is the holy God who desires that those who call upon Him live in ways that are holy and upright. -John Paul II, address to Islamic leaders of Senegal, Dakar, February 22, 1992 -http://www.usccb.org/beliefs-and-teachings/ecumenical-and-interreligious/interreligious/islam/vatican-council-and-papal-statements-on-islam.cfm
Meanwhile, Rome has a history of opposing Hebrew statehood.
► Papal–Israel relations
Until 1948 the Pope was motivated by the traditional Vatican opposition to Zionism. Vatican opposition to a Jewish homeland stemmed largely from theological doctrines regarding Judaism.[40] In 1904, the Zionist leader Theodor Herzl obtained an audience with Pope Pius X in the hope of persuading the pontiff to support the establishment of a Jewish homeland in Palestine. The pope's response was: "Non possumus"--"We cannot." In 1917, Pius X's successor, Pope Benedict XV, equally refused to support any concept for a Jewish state. Minerbi writes that when a League of Nations mandate were being proposed for Palestine, the Vatican was disturbed by the prospect of a (Protestant) British mandate over the Holy Land, but a Jewish state was anathema to it.[27][41]
On 22 June 1943, Amleto Giovanni Cicognani, the Apostolic Delegate to Washington D.C. wrote to US President Franklin Roosevelt, asking him to prevent the establishment of a Jewish state in Palestine. ...
If the greater part of Palestine is given to the Jewish people, this would be a severe blow to the religious attachment of Catholics to this land. To have the Jewish people in the majority would be to interfere with the peaceful exercise of these rights in the Holy Land already vested in Catholics.
It is true that at one time Palestine was inhabited by the Hebrew Race, but there is no axiom in history to substantiate the necessity of a people returning to a country they left nineteen centuries before.[42]
The Vatican view of the Near East was dominated by a Cold War perception that Arab Muslims are conservative but religious, whereas Israeli Zionists are modernist but atheists. The Vatican's then Foreign Minister, Domenico Tardini (without being even a bishop, but a close collaborator of Pius XII) said to the French ambassador in November 1957, according to an Israeli diplomatic dispatch from Rome to Jerusalem:
"I have always been of the opinion that there never was an overriding reason for this state to be established. It was the fault of the western states. Its existence is an inherent risk factor for war in the Middle East. Now, Israel exists, and there is certainly no way to destroy it, but every day we pay the price of this error."[45]
by initially siding with Palestinian claims for compensations on political, social and financial levels, the Vatican shaped its Middle Eastern policy since 1948 upon two pillars. One was based on political and theological reservations against Zionism,... the Holy See has also maintained reservations of its own. The more established the Zionist Yishuv became in Mandatory Palestine, the more political reservations the Vatican added to its initial theological inhibitions.[51]
On 26 May 1955, when the Israeli Philharmonic Orchestra performed Beethoven's Seventh Symphony at the Vatican as an act of respect for Pius XII, the Vatican still refrained from mentioning the name of the State, preferring instead to describe the orchestra as a collection of "Jewish musicians of fourteen different nationalities."[53]
Paul VI was Pope from 21 June 1963 to 6 August 1978. He strongly defended inter-religious dialogue in the spirit of Nostra Aetate. He was also the first Pope to mention the Palestinian people by name...On 15 January 1973, the Pope met Israeli Prime Minister Golda Meir at the Vatican, which was the first meeting between a Pope and an Israeli Prime Minister. At the meeting, the Pope brought up the issues of peace in the Middle East, refugees and the status of the holy places, but no agreement was reached.[58] According to Meir's own account of the meeting, the Pope criticized the Israeli government for its treatment of the Palestinians, and she said in reply: Your Holiness, do you know what my earliest memory is? A pogrom in Kiev. When we were merciful and when we had no homeland and when we were weak, we were led to the gas chambers.[59]
Relations since 1993[edit]
The opening towards the State of Israel by the Vatican was partially a result of Israel's effective control over the entire Holy City since 1967. This forced the Vatican to introduce a pragmatic dimension to its well-known declaratory policy of political denial. Hence, since 1967, Vatican diplomacy vis-à-vis Israel began to waver between two parameters:
A policy of strict and consequent non-recognition of Israel's sovereignty over Jerusalem, far beyond the usual interpretation of international law, as the Holy See still embraces its own ideas regarding the special status of Jerusalem.
A pragmatic policy, through which Catholic interests can best be served by having a working relationship with the party who exercises effective authority and control in Jerusalem.
The establishment of full diplomatic relations in 1993–94, on the other hand, was a belated political consequence of the theological change towards Judaism as reflected in Nostra Aetate. It was also a result of the new political reality, which began with the Madrid COnference and later continued with the Oslo peace process, after which the Vatican could not continue to ignore a State that even the Palestinians had initiated formal relations with.
Pope Benedict XVI has declared that he wishes to maintain a positive Christian-Jewish and Vatican-Israel relationship. Indeed, on the occasion of the 60th anniversary of the Jewish state, Benedict stated: "The Holy See joins you in giving thanks to the Lord that the aspirations of the Jewish people for a home in the land of their fathers have been fulfilled,"[72] which may be seen as a theological justification of the return of the Jewish People to Israel – indeed, an acceptance that has placed all previous Catholic denials of Zionism in the shade. On the other hand, he has also stressed the political neutrality of the Holy See in internal Mideast conflicts. Like John Paul II, he was disappointed by the non-resolution of the 1993 Fundamental Accord; and like his predecessor, he also expressed support for a Palestinian state alongside Israel. - https://en.wikipedia.org/wiki/Holy_See%E2%80%93Israel_relations
There you go again: using facts and quotes.
Doncha know that FEELINGs are what REALLY matter these days?