I do not share this view, not only because the Bible and the Muslim scriptures are not in full agreement, but also because many Muslims themselves don’t like that kind of talk.

I’m not a fan of arguments that try to reconcile worldviews by antagonising what the worldviews say about themselves. My opinion is that it’s not an honest way to argue.

I do think God, in his mercy, can answer Muslims’ prayers and reward virtue in any context (Romans 2:12–29). If he waited for a perfect theology before being God to someone, he would answer nobody but the authors of the Bible (I’m saying this as a Christian who reveres those authors; I am not saying they are infallible to you but I must be consistent with myself).

I have given a personal response, but this article answers your question more academically:

https://www.gotquestions.org/same-God.html

As you can see, they identify the trinity as the main thing to separate Christians and Muslims. This is where it gets tricky, because the trinity, as Muslim scholars have pointed out, is not stated bluntly in the Bible but deduced by historical Christian theologians. The deduction is irrefutably accurate to represent what the New Testament teaches indirectly, but it cannot impress Muslim scholars because it’s not from authors they can revere, and they see no reason why God couldn’t have been direct.