Well, you can't have it both ways. If you behave and believe that you're a race for 4000 years but you don't want other people to say that, then you need to be careful what you wish for. Despite 2000 years of intermarriage in Europe, apparently our genetic ancestry is still there. In the end, though, there really is no 'race', as all people's in the world are mixed and come from Africa. Yes, that means everyone.
Justice Ministry: Information examined by AG about Gal Hirsch didn't come from police (Haaretz)
from the article: DNA links prove Jews are a 'race,' says genetics expert