It occurred to me while teaching Nietzsche yesterday that the use of Nietzsche to motivate antisemitism by the Nazi regime is pretty much the opposite of contemporary antisemitism, at least in one key respect. Hitler's use of Nietzsche capitalized on the idea of Jewish inferiority. If it's perfectly fine for the strong to trample the weak, then all it takes is finding a group that can be taken to be weak, and then you can trample away.
The problem Nietzsche would have is that you can't really demonstrate that Jews are the weak. In fact, the history of Jews in the United States seems to demonstrate otherwise. Before Hitler's time, Jews in the United States tended to do worse on IQ tests than the majority population. After WWII, they tended to do noticeably higher than average. The best explanation for that seems to be that Jews were sidelined more often and had become mainstreamed in a way that allowed them to develop the cognitive skills that they already had potential for but hadn't been developing as strongly. Even with the problems in using IQ tests to identify intelligence plain-and-simple, it's certainly true that there are skills that IQ tests measure, and the Nazis would have been happy to accept IQ scores anyway. So it seems as if the facts are just against their claim.
Contemporary antisemitism has to take a different stance. Not only is it ludicrous to take Jews to be inferior in terms of any important skill set for success in life, but Jews have in fact been much more successful in most of the ways people who make such judgments would actually care about than the average for the non-Jewish population. So the narrative is no longer that Jews are inferior and thus need to be trampled because of some Nietzschean mission to lift oneself up by taking advantage of the weak. Now it's almost a reversal. Jews have assumed control of society in some massive conspiracy, and the rest of us are the victims who need to resist the collective strength of the Jewish conspiracy.
Now I guess the two views are compatible. Someone could think that Jewish success is merely due to conspiratorial measures implemented by idiots who succeed only because a few of the relatively smart ones have gotten enough Jews into influential positions to prevent anyone from overcoming their collective strength. But I don't think the idea of Jewish inferiority among such conspiracy theorists is really about intellectual inferiority anymore. It's not clear to me exactly what kind of inferiority it's supposed to be, though. It clearly has some normative element, but I'm not sure it's even thought-out enough for there to be a real answer to that question.