One interpretation of this Palin interview excerpt might be that she objects to abortion, and would try to dissuade people from having them, but is opposed to legal penalties for it.
There's a name for that political position. It's called being pro-choice.
There's a more likely explanation, of course, which is that she wants to make abortion illegal by threatening legal action against doctors, but not patients. All the same nasty consequences, but she still gets to claim she doesn't want to throw those poor women in jail. But she can't actually answer Couric's question ("But ideally, you think it should be illegal for a girl who was raped or the victim of incest to get an abortion?") honestly without sounding like a monster, so she dodges it.