Very little of eugenics's bad reputation dates from the Nazis. Some of it dates from before and some from long after. In particular, the winners continued their pre-war programs for decades after the war. Eugenics became unfashionable around 1960, a bit late to blame on the Nazis. And I think the emphasis on Nazi associations is even later (maybe 1970 or 1980), after eugenics was clearly losing.
Not quite: eugenics is a set of techniques that isn't certainly limited to sexual selection. Plus only humans could practice eugenics. Instead, anything with a brain and sex can practice sexual selection.
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