The God of the Jews? Absolutely.
The God that the Moslems worship... not the same God. Just because you say you worship God does not make it so. When God is distorted and the Word is twisted to mean something it was never meant to mean then that is by definition not the same God and not the same Word of God.
Sorry to hear about your Rabbi. Sounds as though you were close to him.
I was raised a Mormon, so technically he wasn't my "Rabbi", but that is semantics. He was a good friend and I learned a lot from him.