I'm definitely on the pro-Israel side so I think I'd know anti-semitic when I see it.
Anyway, that's not anti-semitic. Jew not only refers to ethnicity but also a religious and cultural grouping, and if you were to fully embrace the Jewish religion as it is presented you would not believe that Jesus is the son of God or that He died for our sins.
It's a touchy subject but I hope this helps clear it up.