It seems to me that the answer is not to bargain with the lives of women. You say it's not a bargaining chip but how is saying, we'll concede the lives of women facing medical emergencies if you'll just allow women to terminate ill-timed or unwanted pregnancies early on, not a bargaining chip? Just because you don't want to call it that? Just to make us sound more reasonable, less crazy?

When a late term abortion is necessary, it's often a medical emergency. Are you saying it's more reasonable, less crazy, to argue that a woman should die of preeclampsia, cancer, sepsis, etc, just to appease people who don't know basic biology? Are you saying that we need laws to make it harder for doctors to deal with medical emergencies because the actual circumstances around late term abortions don't do a good enough job in restricting these?

Ideally, the answer is education. Like I said, the anti-choice people honestly don't know how the human body works. And they honestly don't know how rare late-term abortions are, or why people get late-term abortions. And they honestly think that people are using abortion for birth control and waking up sometime in the second or third trimester and deciding they just don't want a baby after all so they go abort a perfectly good near-viable fetus during their lunch break. They think women are cruel, or stupid. or both.

I don't know how educable they are. The information is out there, readily available, but they still keep spouting ignorance and thinking themselves qualified to make medical decisions for people they don't even know.

There's always civil disobedience, though.