Do you agree that they are two different beings?
I wish to argue that the Judeo-Christian God is not the same being as the Muslim/Islamic God. They are two entirely different entities.
Why? They may seem to have the same function, but fundamentally, we know that the Judeo-Christian God is identified as Yahweh. The Muslim God is identified as Allah. Nowhere in the Quran is the name of God ever explicitly stated as Yahweh. It is always explicitly expressed as Allah. Allah is used as a proper name for the name of Muslim God but the proper name of the Judeo-Christian God is always Yahweh; in fact Yahweh is mentioned properly more that 6000 times in the bible in the original tetragrammaton in Hebrew.
Therefore it is wrong to say that Jews, Christians and Muslims worship the same God. We do not.
If anyone can point out where the Muslim God refers to himself explicitly as Yahweh in the Quran, then I’m open to reconsider my position on the matter.