This is just false

The CCC says that Muslims “profess to hold the faith of Abraham”- not that they “hold the faith of Abraham.”
scborromeo.org/ccc/para/841.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.”
No point in placing words in the mouth of the Church or the CCC if we are truly interested in upholding what the Church actually says and not what we presume she says.
-Do Muslims as CCC says, profess to hold the faith of Abraham? Of course, they do! This is a plain fact and truthfully, we don’t even need the CCC to tell us that- Just ask any Muslim if they profess so or read the Qur’an.
-Do they HOLD that faith of Abraham as they profess to? Neither the Church in Vatican II and any of the other previous Councils nor the CCC says so. If the Church anywhere says that Muslims hold the faith of Abraham, and don’t just profess to do so, I’d very much like to see it.
Who is debating about what God Muslims worship? This is your own debate, not mine. I can very easily point you to numerous and detailed posts I’ve made in the past here at CAF on other threads arguing that Muslims worship the same God that Jews and Christians worship. My point was that the Church only acknowledges that Muslims profess that the faith they have is that of Abraham-Nowhere in the 2,000 year History of the Catholic Church has the Church EVER accepted that this Muslim claim is true.
The statement is most certainly wrong as is your own statement above. The CCC 841 has been produced here already a few times. It says they
profess to hold the faith of Abraham, not that “they hold the faith of Abraham”. If we are so concerned about following the CCC, how about we actually follow what it says and not what we impose on it? Keep in mind that the Church takes great care in the language she uses in official Documents- If the Church meant to say that Muslims actually do hold Abraham’s faith and don’t merely just profess to, she would have said so.