And I keep telling you that in the Quran there are countless references to Judiasm/Christianity and reaffirmations that the God of Abraham is the same as the God of Islam.
You keep saying that different interpretations make these Gods different. I'm telling you that the very definition of God in Islam says otherwise, and that agrees with why Jews don't believe in the Trinity or Jesus being divine.
If someone watches Inception and thinks it's all a dream, while another person watches the movie and says it was real, does that mean they watched a different movie? No. They interpret the movie differently.
Your argument is clear. It's simply wrong.