https://www.vatican.va/archive/hist_councils/ii_vatican_council/documents/vat-ii_const_19641121_lumen-gentium_en.html
Seems Rome has some serious issues in identifying the difference between the God of Christianity and the false god of Islam.
"But the plan of salvation also embraces those who acknowledge the Creator, and among these the MUSLIMS are first; the profess to hold the faith of Abraham AND ALONG WITH US THEY WORSHIP THE ONE MERCIFUL GOD WHO WILL JUDGE MANKIND ON THE LAST DAY."
This is an amazing blasphemy! Catholics are worshippers of Jesus Christ and the Most Holy Trinity; the Muslims are not! A child can understand that we don't have the same God.
Pope Gregory XVI, Summo Iugiter Studio (# 6), May 27, 1832:
"Therefore, they must instruct them in the true worship of God, which is unique to the Catholic religion."[44]
Pope St. Gregory the Great:
"The holy universal Church teaches that it is not possible to worship God truly except in Her ..."[45]
It is a clearly a denial of the Most Blessed Trinity to say that Muslims worship the true God without worshipping the Trinity. Secondly, and even worse when considered carefully, is the astounding statement that Muslims worship the One Merciful Who will judge mankind on the last day! This is an incredible heresy. As stated already, Muslims don't worship Jesus Christ - mankind's supreme Judge on the last day. Therefore, they do not worship God who will judge mankind on the last day! This is quite simple. To say that Muslims do worship God who will judge mankind on the last day, as Vatican II does in Lumen Gentium 16, is to totally deny that Jesus Christ will judge mankind on the last day.
Pope St. Damasus I, Council of Rome, Can. 15:
"If anyone does not say that HE (JESUS CHRIST) ...WILL COME TO JUDGE THE LIVING AND THE DEAD, HE IS A HERETIC."[46]