Okay, let's dissect this word salad.
I feel no guilt about abortion one way or the other. I've never had one (being a dude), have never had to pay for one (because I've always used contraception or my partners did), and have no involvement. I used to be anti-abortion, until I realized it's kind of pointless to have a law no one will follow.
The prohibition comparison is valid. why did Prohibition fail? Well, to start with most people didn't want it. The Prohibitionists were a noisy minority that got this amendment passed because people didn't read it very closely. (People assumed that it would only apply to hard liquor, not beer and wine). The minute it passed, people were coming up with clever ways to get around it. Not just people like Al Capone smuggling in alcohol from Canada and other places, but people making bathtub gin, hillbillies setting up their stills up in the mountains, people claiming to be clergymen so they could sell wine under that loophole. Eventually, people figured out it was huge failure.
So, when you have an abortion law that will be a patchwork of different rules in different states, with abortion pills that can be sent in the mail, with OB/GYN's who will just write down they did a pelvic exam when they perform an abortion, you are going to have a law that is going to be largely unenforceable. Particularly since no one has any taste for putting a woman in prison for getting an abortion.
It's her body and her choice. Here's the other problem you guys don't really contend with. We have a law called HIPAA, which means your doctor cannot discuss ANY part of your medical history with anyone, period. Heck, my wife had to sign a bunch of waivers to just be able to get her doctor to discuss her medical issues with me. (As my wife had limited proficiency in English, I often need to translate for her.)
So how are you going to tell the abortions from the miscarriages, or for that matter, even know when a woman was pregnant in the first place?