Good point.....but that being said, Hitler/Nazis based their hated on the fact that the Jews were an inferior race of people that needed to be removed from the earth. The holocaust was the activity to remove that race from their presence....

Anti-semitism is the term used to refer to racism specifically against Jewish people...

I think that term "anti-semitism" originated because the extermination of the Jewish people in the holocaust was such a specific event with such a distinct reason that it developed its own specific phrase. But the Jewish race is most definitely an individual race.

Skin color doesn't necessarily define race either. Asians have white skin and they aren't considered part of the white race...