They also accept his virginal birth, that he was lifted up to heaven in his body (unlike other prophets, including Mohammed, who died normally) and the fact that he is the Messiah.Muslims reject Jesus's sonship. The Christ they believe in as a mere prophet is not the Christ that came to earth, suffered, died and rose again. That is a significant difference.
I think this matter may be more complicated than both sides have admitted so far.
The matter is very complicated, I completely agree. That is why I think we need to entrust ourselves to God and accept it as one of His Mysteries. I personally have no claim over the Truth, that is only God's alone.
My position is to lay out certain facts and create a counter-balance to an otherwise more or less one-sided discussion. Which is nothing to say about the people that have opposing opinions. I am not in a position to tell anyone what they should believe, and at the end of the day I respect the decisions anyone makes, but I also think that it is crucial we first try to look at all the facts, examine both sides of the coin, and if necessary concede that it is beyond our understanding, instead of making quick judgement calls.
I truly believe it is possible that Allah and Yahweh are one and the same. Can I claim they are one with 100% certainty? No. And if you ask me how it even would be possible, then I have to step back and say: I don't have an answer for that, because there is no such answer in the realm of human logic. We are talking about God, our Omnipotent Creator who is beyond our wildest fantasies. How can we even dare to second-guess Him? With God, all things are possible, even if we cannot wrap them around our heads.