This question emerges frequently these days, most recently in the high profile suspension of a professor at Wheaton College.

The Roman Catholic Church catechism answers in the affirmative stating: “…together with us they [Muslims] adore the one, merciful God, mankind’s judge on the last day”  (paragraph 841).

This is an amazing statement on many fronts.  Muslims emphatically and militantly deny the divinity of Christ and the Trinity which are the foundations of the Catholic faith affirmed by the three primary Creeds of the Christian church. Apparently the RCC sees something in Islam that no Muslim would ever see in the RCC.

Let me recommend this short essay from First Things if you want to follow this further.