It’s irrelevant what muslims claim or profess.
The problem is that the Roman Catholic church says that they and the muslims worship the same God together with the Catholic church.
It’s right there in the CCC.
Its right there in the CCC.
So is this:
839 Those who have not yet received the Gospel are related to the People of God in various ways.325 (856; 63; 147)
The relationship of the Church with the Jewish People. When she delves into her own mystery, the Church, the People of God in the New Covenant, discovers her link with the Jewish People,326 the first to hear the Word of God.327 The Jewish faith, unlike other non-Christian religions, is already a response to Gods revelation in the Old Covenant. To the Jews belong the sonship, the glory, the covenants, the giving of the law, the worship, and the promises; to them belong the patriarchs, and of their race, according to the flesh, is the Christ;328 for the gifts and the call of God are irrevocable.329
Last time I checked the Jews don't believe in the Triune God either. Would you say they worship a different God than Christians?
Catholic Church. (2000). Catechism of the Catholic Church (2nd Ed., pp. 222223). Washington, DC: United States Catholic Conference.
The papacy has been one of the strongest supporters of the UN since its formation. Beginning in the early 1960s the UN has granted to the Roman Catholic church a privileged position..( held by no other religion), that gives this church a voice in the international community regarding some of the most sensitive issues of our time.
Since the Vatican II Council in the 1960s, the papacy has been working with the U.N., the Wold Council of Churches and other politico-religious inter-faith bodies to bring about 'world unity of all churches', Christian AND non-Christian alike.
Pope Paul VI in the United Nations, who would speak to the UN
Archbishop Silvano M. Tomasi... Permanent Observer of the Vatican to the Office of the United Nations