No.
First of all, if you take Biology 101, you'll discover that nature controls the process by which we produce more citizens. And if having children is not a right, who exactly should have the power to decide this?
You're living under the same rules as the prisoners. If you break certain laws, you go to prison, just like them. They broke them, and you didn't, so they go, and you don't. But the rules are the same for everyone.
Entering your house without permission, particularly with malicious intent, subjects all people who do so to the possibility that they will be shot. You doing the same to someone else subjects you to the same thing. In terms of being shot in self-defense, the rules are the same for everyone.
However, you support sterilization. If you don't or won't get sterilized yourself, then you are applying your rules to other people but not yourself. You think society should determine who should have kids. I am in society. I have ordered you to go get sterilized. If you can't live under the rules you want everyone else to live under, then your rules are crap.