Aren't they the same thing?
If Jews aren't a race, that means they remain as only a religion. It's supposedly politically correct for someone who is opposed to Jews to be an anti-Semite, but Semitic peoples extend beyond the religion of Jews. The Carthaginians were Semitic people. I'm assuming Semites are supposed to be people originating from Mesopotamia or Arabia. However, the Nazi's had Muslims in the SS, and they didn't intend to persecute Arabs. They hated Jews as a religion (burned synagogues) and as a race (racial hygiene).
@ NHsports123: If Semitic peoples are only people who spoke Semitic language, how can someone be labeled an anti-Semite for hating Steven Spielberg?