The problem is psychopaths are the most likely to champion eugenics. They are the least likely to ever be impacted by it. In reality all you're going to do is wipe out the artists and intelligentsia while dumb bydlo and their psychopathic overseers run rampant. See also: Soviet Union, Nazi Germany.
The best thing to do isnt try to sterilize all the dumb people--wonderful though it may seem--but provide things like massive tax incentives to intelligent people. Likewise with things like empathy but the problem is how do you even select for or screen these traits? I dont think the world is necessarily improved by filling it with higher IQ psychopaths or clinically retarded nice people, and moreover as anyone with the vaguest clue about genetics realizes you're not just editing out one single gene for one single trait. The Russian foxes should have told you better what happens when you try that.
I mean for example you could heavily tax the shit out of dumb people and criminals--ANY criminal including white collar although in their case probably include some kind of asset forfeiture--for each kid they have above one or two at an escalating gradient. Meanwhile people who do things like volunteer at homeless and animal shelters or have Masters+ degrees or whatever means of checking intelligence and decency give them steep tax credits. That's just one example. Hell even have the State flat out pay for smarter and kinder people to have kids.
The problem is as you can see the exact type of person who espouses eugenics this likely would never occur to them. Instead they take the "kill em all" approach and as such those people themselves should be screened off and given life crippling tax and other penalties if they breed, preferably with an additional mandatory minimum hours of anime consumption and state provided full body anime pillow just to be sure.
We should also encourage highly risky sexual behaviors in the more intelligent and possibly more risk averse and thus pregnancy averse population and discourage the use of birth control. The problem isnt even that stupid people and vicious dickheads have too many kids, it is that good people aren't having enough.