Eugenics was taught worldwide by more than just the Nazi's for decades prior to WWII. Also, most Nazi's, especially those affiliated with the Gestapo/SS were tried as war criminals. The trials of Nuremberg, particularly the first, created a broad definition of who should be executed. Though the V2 scientists were largely grabbed by the US and USSR since they had advanced well past the US/USSR research, and kept their degrees. It is less about losing one's degree/license, and more about whether or not they spent their life in jail or were executed due to war crimes to be honest. Eugenics was a very popular idea that other countries were interested until the media started to distribute concentration camp photos and statistics.

Yes! In the aftermath of the war, the Allied occupation authorities initiated a process of "denazification" with the aim of purging German and Austrian society of Nazi ideology (a process which varied between the Soviet and Western zones of occupation. Those convicted under Allied tribunals were given punishments ranging from restrictions on employment travel and political rights to imprisonment or death. For example, the prominent philosopher Martin Heidegger — who was a member of the Nazi party and who supported Hitler's rise to power — was initially prevented from teaching following the end of the war, although he was allowed to return to his professorship in 1949.