Then let’s set that aside until we find the answer to it *.
Back to Muslims worshipping God. The Church stating that they worship God does not equate to the Church declaring the Islamic concept of God to be correct or as valid as the our concept/understanding. Think of it this way [and this analogy isn’t perfect and is just being used to describe how close the various faiths compare in the proper/correct understanding of God]-
God is sitting in a room in a building
A Catholic would find the room
A Protestant would find a room near the correct room
A Jew would find the right floor
A Muslim would find the right building
A non-Abrahamic faith person would find anywhere from the right city block to just being in the right country
All the Church has stated is that Muslims, like the other Abrahamic faiths, get the building right [which is rather important when trying to find someone].*
Great analogy!