Nobody is really in favor of abortion, except maybe some ultra-libertarian nutjobs who would require abortion unless the parents posted a $200,000 bond to prevent taxpayers from footing the bill. A few Democrats favor abortion on demand right up until birth, but that is a very tiny percentage. The vast majority favor abortion when medically necessary, plus maternal choice with reasonable time limits. (In other words: Roe v Wade) So claiming Democrats are all over the place on it, while Republicans all want no exception no abortion, is just wrong. Most Republicans actually DO want reasonable exceptions.
This is why the potential for backlash is so high. These laws being passed in some states will kill a lot of pregnant women if Roe goes away. That's a very hard legislative record to hide from.