IMO the blame mostly falls on Democrats and moderates for failing to protect the social gains of the 60s/70s
Bill Clinton had that quote about abortion being "safe, affordable, and rare." By using this type of rhetoric you cede the moral high ground to anti-abortion advocates by implying that abortion is morally objectionable, and not something that is relatively common (the number I've seen is 20% of women by age 30 have had one). It's generally an attempt to gain votes from 'moderate' conservatives and swing voters at the expense of women.
The problem with this strategy is that to anyone who actually believes abortion is baby murder, this position just makes you look spineless. They'll vote for an anti-abortion candidate, of which there are many.
There have been shamefully few mainstream Dem politicians that have unequivocally stood for pro-choice positions. Instead you always get caveats and milquetoast crap about how 'its a complicated issue.'
Biden is the current frontrunner for 2020 and he was a big supporter of the Hyde amendment until just recently (when it became harmful politically). Now he's changed his tune, but that doesn't erase the fact that he was a party leader for 40+ years and did plenty to help undermine these rights.
This failure to stand for women has allowed a sustained attack on Roe for nearly 50 years, and now the door is open for it to be overturned by a conservative supreme court. It's thanks to this kind of inaction and faux moral posturing that we now see these barbaric laws spreading around the country.