There will certainly be nasty, lingering prejudice, but most German regimes that are not Nazi will also not be particularly focused on antisemitic policies. Antisemitism is just one facet or race policy, race policy is just one aspect of fascist policy, and fascism is just one possible form of right-wing dickishness. There is no reason to think it would particularly matter to those in power. A lot of German ultranationalists were supremely unconcerned about Jews, even those that cared about Slavic subhumans undermining the German people or the yellow hordes reddening the sands of Europe with the blood of innocent virgins, that kind of thing. The Hamburg chapter of the DNP had no problem painting Albert Ballin as some kind of local hero (he was as Jewish as it is possible to be without being called Solomon Rabinovitz).
Unless Germany manages to elect another antisemitic nutcase, instead of, say, reinstate a castrated monarchy or throw up your bog-standard anticommunist junta, the most likely scenario is a long stint as unofficially second-class citizens which ultimately ends as political activism and social change alters perceptions. You'd likely see a German version of "Guess Who's Coming for Dinner" at some point. There would not be big legislative drives because prior to the Nuremberg Laws, Jews in Germany were legally equal to non-Jews, but there would be great efforts to address unofficial discrimination, which was well entrenched. Eventually, hate crimes will be an embarrassing memory (much like Polenpässe and Gastarbeiterheime) and young people will roll their eyes when grandpa talks about "Those People" at Christmas.