Outlier or not, I think it would be a stretch to say that there's an 'accepted' set of psakim/halachos governing all abortion situations. As such, even if one feels that the correct hashkafa is for us as Jews to advocate for what we think is correct in the realm of abortions to be implemented as secular law, there may not be a consensus/accepted set of halachos on the subject to turn into law. These are things that are very much decided on a case by case basis in Judaism, and you're never going to be able to install a system of secular law that would emulate having poskei hador decide such matters.
