http://www.vatican.va/archive/ENG0015/__P29.HTM
841 The Church's relationship with the Muslims. "The plan of salvation also includes those who acknowledge the Creator, in the first place amongst 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."330
Your church admits to worshiping together with the muslims, the same God..
Now the question becomes, "Is believing the CCC and assent to its proclamations, optional for the Catholic?"
Some FRoman Catholics have been poorly catechized.