The US used to do this. In fact, the US Supreme Court in BUCK V BELL
http://www.law.du.edu/russell/lh/alh...buckvbell.html ruled that such sterilizations are OKAY. Written by no less than Justice Oliver Wendell Holmes: "The principle that sustains compulsory vaccination is broad enough to cover cutting the Fallopian tubes. (citation)
Three generations of imbeciles are enough."
Good thing attitudes changed after Buck v Bell and it was overturned later.
Putting the power over reproductive rights in the hands of the State is definitely very very problematic.