Society doesn't OWE YOU to support your proclivities!
That’s reasonable enough as far as those on welfare, but a eugenics board would probably go further than that. Targeting people with low IQ scores, for example.
If the most casual contact with the term “eugenics” doesn’t send a chill of horror down your spine, you are not a Republican, nor are you a conservative.
Which begs the question...Why are you posting here?
Two wrongs (welfare, sterilizatio) don’t make a right. Your views are repugnant.