"Jewish" was never a race. It still has some minor basis in fact as an ethnicity, since most Jews do have some very distant ancestry from Israel, but I think that genetic evidence has shown that it's quite minor for most, at least amongst European Jewish populations. For example, if most German Jews (Ashkenazi Jews) are like 98% genetically indistinguishable from other Germans, does that really make them Jewish? You can argue about whether it really does. Many self-proclaimed Jews seem to think so. I personally just think of it as a sort of religious/cultural identity.