This was, effectively, the underlying plot of Idiocracy.

Problem for Kirk, besides the fact no one with whom he wants to breed would breed with him, is that half their kids will die before they get to voting age b/c of vaccines and many of their women won’t be replaceable after they die in childbirth b/c they don’t believe in providing for women’s health.

They'll also die from drinking un-pasteurized milk, accidental shootings and unsafe work practices (because of course kids should be working in factories). The same folks 'overbreeding' are the ones driving down the US' average life expectancy.