Your God is our God is the same God, we call God Allah this is his name that encompasses all his attributes, one of the Jewish names for God is Elohim which is from the same Arabic root. Christains and Jews call God - Allah in Arabic speaking countries. Even in translations of the bible in Arabic they use Allah. Do you still deny the fact that they are one and the same?
In terms of our theological belief we do not describe him as an entity, we define him for the sake of confirmation.
You see that the first commandment is 1.Prohibition of Idolatry: - There is only one God. You shall not make for yourself an idol.
This is basically the Islamic testification of faith, "There is no deity except God and Muhammad is the Messenger."
This was the belief of all the Prophets before Christianity, so does this mean that they didn't believe it. Why wasn't ever mentioned by anyone? That's because it was something that added to Christianity by emperor Constantine in the 4th century.
Even your own words are contradictory, firstly you are say Jesus is god then you are saying God is one. If Jesus is what are saying then how could the devil take him somewhere like the Bible says. How can a god be controlled by the devil. Jesus (upon him peace) said, "That a slave can only have one master." SO the real question is why you believe something that is sound and not self-contradictory.