"Allah is the God of Abraham."
One more thing: besides being untrue, as you have been shown, this is a blasphemous statement as it implicity denies the deity of Christ.
I will have to answer for many wrongs I've committed in my life, but I hope blasphemy like this isn't one of them.
No it doesn't. They believe that Allah is the God of Abraham. They believe in Jesus and believe He was a prophet of God. Simple logic would tell you they connect the two.
The Jews don't believe that Jesus was the Son of God, Jesus was a Jew. In your logic, Jesus did not believe in Himself.