Fact is, it is the woman's body. If she wants to get rid of some parasitic lump of flesh in her body, then she should be allowed to. Since when should other people be able to tell a legal adult what to do with her own body if it doesn't negatively effect anyone else?
They shouldn't. And if you're against killing potential life (I don't even know how that's possible. If it's potential life then it's not alive yet, and you can't kill something that's not alive...) then guess what? Don't get an abortion. There, everyone is happy and no one needed to be forcefully subjected to someone else's beliefs.