You need a license to pull fish out of a river or to plant bamboo in your own yard, but any moron is allowed to make new people. How does that make any sense?
With a baby license, hopefully we would actually only make new sane, healthy people - currently that’s not happening because the world is chock full of unhealthy idiots that I don’t want to bear the burden of supporting.
It’s not a perfect idea, but if it’s a societal concern as you said, why shouldn’t we regulate it?