I don't know, let me just hit you with this hypothetical though:
If somehow you KNEW (allowing for this possibility...) that 200 years from now there would be an absolute population crisis, where billions would die of conflict, starvation, etc... and the only way to prevent it was to do targeted sterilizations, licences to be a parent, limitations on children per couple... etc, here and now in the present.
Could you get behind such a program in that case?
Or alternatively if somehow you knew that dysgenic reproduction was going to lower the human race's IQ until we ended up with Idiocracy, could you support targeted sterilization then?