It appears you're choosing to ignore my point that the Muslims define Allah as the God of Abraham. It is the qualities added and deleted by Mohamed that make their understanding of Him different. Now if that means its not God in your book, fine, I already conceded that was a valid way to define it.
But they don’t honor the God of Abraham; they reject the Old and New Testaments. They reject the old by claiming that Ishmael, not Isaac, was to be sacrificed by Abraham. They reject the new in that they say Jesus was only a man.
Having been given the Scriptures, how can they be seen as honoring the same God? Their Koran is in direct contrast with the Scriptures.
What’s more, I believe (though I am no scholar, and will yield if I’m wrong) that Allah is capricious and not bound by either free will or natural law. This is a key difference between the Judo-Christian. Jesus showed God as a loving Father, who we could come to know through his creation. Islam means ‘submission’.