Hitler and the Nazis made antisemitism socially much less acceptable in the west (at least for a while). In spite of this in the USA (as an example) you had strict quotas on Jews entering Ivy League colleges and other private universities as undergraduates, quotas/restrictions in professional schools (law/medicine/dentistry), and subdivisions and entire towns where Jews were not allowed to rent or own homes. Hotels/resorts closed to Jews, many corporations that would not hire Jews or steel (not glass) ceilings, hospitals that would not allow Jews on the medical staff, and more of this sort. This persisted until the 1960s when the various civil rights laws were passed. All of this was in spite of antisemitism being poisoned by being tied to Nazism/Holocaust. You had variations of this throughout Western Europe, once you get to Eastern and Central Europe this got substantially worse. IMHO assuming the USSR does not expand in to Eastern Europe absent OTL's WWII, but stays in the 1938 borders, anticommunism/antibolshevism is still a big deal and the association of Jews with Bolshevism continues, as it did OTL.
Leaving aside the more recent issues of antisemitism due to the Arab-Israeli conflict, I expect a world without the Holocaust will have much more social antisemitism through today than OTL. If the civil rights laws get passed in the USA, either on schedule or later, some of the de jure restrictions will go away, but many of the de facto ones will remain. IMHO we are seeing a resurgence of antisemitism only partially fueled by the Arab-Israeli issues, folks like the AfD in Germany, and the various neo-fascist alt-right groups in Europe and the USA care not one bit about the Palestinians, its a lot of the old tropes repackaged for today. With no Hitler/Holocaust, even with civil rights legislation, the level of antisemitism will be much higher in the late 20th century than OTL, and the regrowth of antisemitism sooner and stronger than OTL. IMHO the only thing tamping it down now is that these groups have "reasons" to crap harder on Muslims than Jews for the moment.