Well, I think that most Jews you talk to believe the Koran is anti-Semitic is because the Koran is anti-Semitic.
The Koran, not the New Testament, says unbelievers are the worst of created beings.
The Koran, not the New Testament, promises that Jews will burn in hell for eternity if they do not accept Muhammad as their prophet.
The Koran, not the New Testament, accuses the Jews of taking Ezra as the son of God and has Allah saying that Jews should be destroyed.
The Koran, not the New Testament, specifically singles out 'people of the book' as the worst of created beings (that's the second reference in the Koran making that claim).
The Koran, not the New Testament, calls for warfare (violence) against Jews because they are 'disbelievers'.
The New Testament, not the Koran, says that the Jews and Romans who tormented Jesus on the cross are to be forgiven.
The New Testament, not the Koran, says to love your enemy.
The New Testament, not the Koran, is especially favorable to Judaism - with all of the major protagonists from the New Testament being Jewish themselves and proud of their Jewish religion/origin.
Paul is categoric, it was the Jews who killed Jesus (not Pilate).
Actually, the context of the passage wouldn't have made sense to bring up Pilate. Paul was drawing an analogy to the persecution of Gentiles at the hands of Gentiles to the persecution of Jews at the hands of Jews. Of course, you have never read Paul's epistles beyond snippets provided off of websites, so you're unaware of Paul boasting of his Jewish background in Romans 9 and other epistles.
In any event, saying the Jews killed Jesus would not preclude that the Romans killed him also. The New Testament is clear that it was the Romans who actually did the killing. A simple reading of the New Testament (as opposed to getting your information from dot com sites) makes it clear that not even all of the Sanhedrin/Pharisees were in support of executing Jesus.