Restrictions on procedures can take a lot of shades, but the basic choice of yea or nay is pretty binary. For comparison, Canada also had abortion law determined by the Supreme Court(it was legal but heavily restricted before, and now we have literally the loosest abortion law in the world - there are no restrictions whatsoever), but the issue is nowhere near as controversial. I think the difference has a lot less to do with the Supreme Court, and a lot more to do with the US level of religiosity.
Accepting that a woman, who was raped and has complications with her pregnancy that would mean that she would die if there was no abortion, is a long way from accepting that every pregnant woman in a late stage pregnancy can just decide to have an abortion.
When you start talking rationally about the shade of gray of different laws it also becomes easier to have a rational discourse about the extremes.
As Multiheaded added, "Personal is Political" stuff like gender relations, etc also may belong here.