How about giving everyone the right to get a license to have children - once they have proven they have the necessary skills? (Like a driving license.)
Make it an offence to have children without a licence - require the parent/s to pass the test asap, or put the child out for adoption if they don't/won't (and sterilise as a last resort).
Just a thought, I have no parental instincts so I have no idea what effect this idea would have on those who do.