Not the Church's dogma (infallible), but the Church's position (potentially fallible). Gotcha. Ping for reference.
I know I am probably wasting my time making this point, but the CCC makes it clear that Muslims CLAIM to worship the same God. It does not claim that the Muslim concept of God is correct.
For ANYONE to deny that Muslims CLAIM to worship the God of Abraham would be lunacy. Having said that, however, that does not mean that Muslims worship the God of Abraham with the correct understanding of who He is.
The CCC #841 says “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
Lumen Gentium, 16: “In the first place amongst these there are the Mohamedans, who, ****PROFESSING**** to hold the faith of Abraham, along with us adore the one and merciful God, who on the last day will judge mankind.”
Nostra Aetate 3: “3. The Church regards with esteem also the Moslems. They adore the one God, living and subsisting in Himself; merciful and all- powerful, the Creator of heaven and earth,(5) who has spoken to men; they take pains to submit wholeheartedly to even His inscrutable decrees, just as Abraham, **** WITH WHOM THE FAITH OF ISLAM TAKES PLEASURE IN LINKING ITSELF **** , submitted to God. Though ****THEY DO NOT ACKNOWLEDGE JESUS AS GOD****, they revere Him as a prophet. They also honor Mary, His virgin Mother; at times they even call on her with devotion. In addition, they await the day of judgment when God will render their deserts to all those who have been raised up from the dead. Finally, they value the moral life and worship God especially through prayer, almsgiving and fasting.”
It seems pretty clear to me that the council fathers and the CCC authors and editors are saying that Muslims CLAIM to have the faith of Abraham and outwardly worship the God of Abraham. Clearly, however, they also acknowledge that Muslims DO NOT WORSHIP the same God as shown by the reference to Muslim denial of Christ’s divinity.