It is only through your bizarrely-concocted narrative (that men pressure women into abortions, or something) that one could possibly view banning abortions as progressive. Stripping all women of the right to abort because of the possibility of some isolated occurrence wherein a 'third-party' may pressure a woman into aborting is nonsensical. Even disregarding sexual assault etc as a reason for abortion, if a woman simply does not desire a child, how can you deny her the right to abort (assuming it is done through the proper avenues, within the allowed time-frame), merely based upon your apparent desire to see a few cells enter the world? We have enough humans populating the earth, frankly. Surely it's a more 'virtuous' decision to abort a child if one cannot properly provide for them. No, though - you'd apparently rather doom a child to a (potentially) sub-par life, and the poor mother to a life governed entirely by her child, than allow for abortion, and the ability for the woman to wait a few years and THEN have kids, when she may ideally have the means to adequately provide for her child.
I cannot wrap my head around anyone vehemently opposing it. It is the definition of archaic.