Nope, do you remember the "partial birth abortion debate"?
The pro-abortion side basically argues that if you can find a doctor that says you need it, you should be able to get it even at 9 months. And they also insist that psychological harm to the mother is enough of a reason to get it, it doesn't need to be risk of physical injury. And that you can go to as many doctors as you want until you find one that will agree. Many abortion clinics have such doctors on staff to meet the legal requirements of medical consultation.
Or about the "post-birth" abortion debate, in which an abortion is botched and the baby delivered? The pro-abortion side wanted to allow the child to be left on a table and not provided with life sustaining care (or even food/milk) to die in the hospital.
The anti-abortion side insists this is infanticide, which gets the other side really angry, since they are not the ones killing the child, they are just refusing to provide care and letting the infant die on its own.
https://www.bbc.com/news/world-us-canada-47066307
Interestingly, in the ancient world, people would leave new borns on the side of the road if they didn't want or couldn't care for them. There are lots of stories about these castaway infants - Moses being put into a basket and sent down the river are an example of this genre. Also in Venice (my favorite city) there was a scaffetta, shaped like a lion's mouth, where you could slip an unwanted infant, and it would be raised in one of the Catholic orphanages. Vivaldi was a conductor for a girls' school in such an orphanage -- the Four Seasons was first performed by orphaned and abandoned girls.
https://en.wikipedia.org/wiki/Ospedale_della_Pietà
Of course the majority of normal people believe in some regulation and some rights. They view these issues as complex and morally ambiguous. But not activists, and certainly not activists in a culture war.