The Catholic Catechism specifically states that the Muslims and Catholics serve the same god.
Well....I have read the Catechism and it’s kind of weasely on that point. It seems to state that, if Muslims just but think that they worship the same God as Christians & Jews, then so be it. That doesn’t make it necessarily so.
The Koran’s picture of the distant, indifferent deity that Muslims call Allah is at complete odds with the loving God of the Bible Who hears those who call upon Him.