Some consider Jewry to be a race.
Some consider it to be a religious group.
Others even simply consider it to be a culture.
Some consider it to be some mixture of the three.
I agree with the Rabbi on this one: it is a religious group.
Many US-Americans say that they are "1/2 Jewish" or "1/4 Indian" - but what exactly should that mean? Is a dude's liver "Jewish", but maybe his pancreas "Protestant"?
Some can make the argument that Jewry is a race because Halakha (Jewish Law) dictates that the religion is passed from the mother to the child. And every child born of a Jewish mother is indeed, in the eyes of Halakha, automatically Jewish. But people can also convert to Judaism. There are Black Jews (see: Ethiopia), there are Indian (as in, the sub-continent) Jews, there are Chinese Jews, there are Latino Jews, there are White Jews and of course, there are Middle-Eastern Jews. Hell, there are even Jewish Eskimos - so Jews can belong to many different races.
There is nothing in the Tanakh that states that Jews are supposed to belong to one race or be a race unto themselves. They were (are) supposed to be a religious group until themselves.
Plus, since the NAZIs deliberately used genealogical tables to decide who was "Jewish" enough to be murdered brutally through systematic genocide on the order ot 6 to 7 million Jews, most Jews are therefore somewhat allergic to the use of race in describing the oldest monotheistic religion in the world.
Therefore, if your question was really an truly probing to learn some facts, I hope this helped.
But if you are just trying to flame Jews because you hate them, then go shove it where the sun don't shine. I've seen lots and lots of Jew-haters start with pleasantly worded questions like this.
How about that for a succinct answer?
How did I do,
Hossfly ?