There is no Jewish race.

Jewish isn't something that runs in yor blood. It's possible Hebrew might be though, but not Jewish. If a bunch of white people of various backgrounds such as Russian, Polish, and German adopt a Middle Eastern language and religion that doesn't somehow magically turn them into their own "race".

Jews are a race. The reasons why many people claim that Jews aren't a race are A: because a genetical proof of relation to their ancestors would indicate that Christians are not the chosen people and B: because usually, Jewish race has been a term used to de-humanize us.
There is a genetic proof of Jewish people as an ethnicity; even if they might have just started out as a Middle Eastern group of people with a different faith, they kept marrying in into their own communities. Therefore a new DNA pattern can be created over the course of almost 6000 years. Research has shown that Polish Jews are related to Iraqi Jews.
I believe that we are a race; it is funny that - although I am a Jew of half Romanian, half German descent - when I lived in Israel, people commonly guessed my background to be Iraqi. That is because we are Middle Eastern and the thing that baffles me the most are those little boxes on myspace, in which people put their religion as Jewish and their ethnicity as white/ Caucasian. An absolute oxymoron.