I have thought about this quite a bit because of the great Larycia Hawkins v. Wheaton College debacle. (If you will google it you will find many great minds weighing in on the topic.)
If we are talking about referents, I think the word Allah refers to the same referent as the God of Abraham. I believe all of the Abrahamic religions intend to direct their worship to the same entity, the one true God. So in that sense, yes.
However. I think the label triggers very different concepts for Muslims, Jews, and Christians. So in the sense of “Do Muslims, Christians, and Jews conceive of God in similar enough ways that their worship would be recognizable as directed at the same entity by an outside observer?” No, probably not. But if a Muslim comes to Christian faith, he or she does not exchange Allah for a different object of worship, he or she builds a different conception of who Allah is and what he wants from worshippers.
I think it is perfectly acceptable to say that I and a white Nationalist immigrant-hater follow different Jesuses. Everyone knows that means you are saying we have different concepts of who Jesus is and what he wants from us. I think it is also perfectly acceptable to acknowledge that when either of us talk about Jesus we have the same historical person as a referent in mind, so in that sense we are talking about the same Jesus.