I'll put my two cents in on this since it's a topic a friend and I discussed.
When people say women shouldn't have a choice in what happens with their body, I think what the fuck are we, a third world country? It might not be moral, but at the end of the day if you were in a situation where you didn't want a child..and there are several legitimate reasons I would fully condone an abortion for. About the only reason I wouldn't is for birth control.
Reasons that ANYONE on this planet would want the ability to go get an abortion:
Getting raped
Baby going to be born with a terrible complication
Mother going to die or be permanently injured as a result of the birthing process.
The simple reason that anyone should be able to get an abortion is because if someone terribly wants one, they will get one. I'd rather they get it in a clean safe environment over a dirty, dingy apartment room.
As far as people using it for Birth Control, it's wrong, but I also don't think the kid should be forced to live in a terrible environment because the parent doesnt truly want them.
End of the day, a woman should be able to choose because it's her burden to bear whether she chooses to abort it or have it, it's a decision that's going to be stuck with her for the rest of her life. It's not our place to tell someone they can't have it.