I'm not a believer in anything about race other than there is only one, but matrilineal inheritance in Judaism has been pretty constant for thousands of years give or take the odd conversion.
You might disapprove that Judaism has a matrilineal genetic component but its merely factual. According to the Mishnah: the main source of Jewish law, having a Jewish father doesn't make you Jewish: you are a born a non-Jew and would have to convert. Having a Jewish mother on the other hand means being accepted as Jewish from birth.
Only in 1983 did even Reformed Judaism try to make changes to accept paternal volition as a means of being accepted as Jewish with a Jewish father.
These things are well known. If you are arguing this is not the case: your "Judaism isn't biological unless you're a racist", then as I said, take your complaints to Judaism and the Rabbi if what you mean by that is you think Judaism itself is racist: I'm sure he will enjoy your argument.
- Personally? I couldn't care less about the dictates of established religions.