The US space program would be set back a bit, perhaps, but the US had plenty of brilliant engineers of it's own which butterflies could give a chance to shine. I think the difference between a generic far right regime and actually Nazis viv a vis Jews is that the far right regime would be far more in line with classic European antisemitism, and would probably aggressively encourage it's Jews to emigrate. Part of the reason they didn't OTL is the Nazi's rearmerment programs meant that they needed all their foreign currency reserves for raw materials, so they literally couldn't afford to let Jews leave without imposing massively punitive taxes on them, which had the perverse effect of keeping the Jews there. Assuming a more sane economic policy by the DNVP, I can easily see far more Jews emigrating than OTL, with all the attendant economic dislocation.
The thing is, with classic European antisemitism becoming a potential trope, there would be more Jews settling in Palestine. If Germany and Israel would get chummy, then the British and the Russians would have to campaign a lot harder to win the hearts and minds of the Arabs, Persians, Kurds and Turks. Of course, the Russians would aim at winning the Persians and Kurds over since they're closer geographically.
Israel in this case would be larger in terms of population, and it will be in a prime position to become one of the fastest growing economies in the Middle East, though I wonder if Israel would consent to having a German military base on Israeli soil.
Come to think of it, IOTL the US Army only found the V2 rockets by chance as they realized how far behind they were in terms of scientific research. If Richthofen would still like the idea of jet propulsion development, I can imagine the Luftwaffe having jet fighters sometime in 1944 if there will be another World War.