One of the biggest problems is even the definition of abortion. Some people think that the birth control pill causes abortion (I don’t), so it should be illegal.
While I may get trashed for saying I’m fine with the pill, the point is the definition means different things to different groups.
When you get to specifics, polls change. Very, very few people support 3rd trimester abortions, for example. And rightly so. Banning the pill, however, would get much lower support. Republicans frequently get trashed as a group for (falsely, imo) wanting that.
Regardless, Roe v Wade was an awful decision. It should be up to each state, period.