So „race“ is a stupid idea but that is not the point the much bigger point here is:
Judaism is not a race it’s a Religion.
That means you can join and leave. Yes it’s way easier to join if you have a Jewish ancestry but nearly every person with a partly European or Middle East history can claim that.
Also you can leave your religion but not your „race“ even in the loosest of definitions.
That Jews are a typical the enemies of racists comes from their anti integration sentiment (hard to get in or out) together with their status as minority so they are always easy enemies (and that’s the one racists like because they themselves are weak)