The best method to stop alcohol-related deaths (of which there are around 88k per year according to the CDC) is also legislation. Prohibition didn't work out that well here did it?
+1
It's like nobody here understands how society works. Our war on drugs is also going swimmingly.
Yes, abortion is bad when the reason is bad. You can try fix it by making it illegal, which will probably stop some abortions, but will create an unsafe black market in the process. I'm not sure it is helpful for someone to get an abortion with a hanger in someone's basement.
You could also try to influence social policy to provide better funding for women with unwanted pregnancies, cheaper contraception coverage, better post-birth maternity coverage and care, better foster systems etc. That will stop some abortions, but since there are no disincentives for abortion, will only go so far.
You can also try to do both - make abortions illegal in most cases, leave reasonable exceptions in place when you know a woman is going to do it underground anyway, but also try to solve for the fundemental social issues that cause women to seek abortions in the first place.