Earlier quoted context omitted.
Are you going to force women to abort "unlicensed" children? Force women to have birth control implants? Up until the 1990s in Spain, many thousands of children were systematically stolen from political activists and others with the wrong politics or wrong lifestyle. Parents were told that their newborn had died. http://www.bbc.co.uk/news/magazine-15335899
A less severe form would be financial incentives for licensed parents. You're still free to have children if you want, but you're only supported by the state if you got a license. Pair this with free birth control implants and abortions for everyone who wants them and you get most of the effect without the use of force. You could even pay men to get a vasectomy.
That alone will prevent many unplanned and unwanted babies in a population without any force, political, eugenics or racist overtones.
I don't know the long term effects of these implants so it's a tentative idea.