>>>In fact, the conservative position is that we can't trust women to handle pregnancy "on their own"
Who's conservative position is that?
Since some methods of "handling pregnancy" are illegal, then in point of fact, you can't handle pregnancy on your own. The state has already defined some methods of handling it that are unacceptable.
So we're not arguing about whether the line exists or not. We're arguing about the the right place to draw it.