The main issue is that the Republican party has tied themselves to single issue voters and the kind of religious people who support a ban. They need those voting blocks to keep getting elected.
For a single issue voter their pet issue is the only thing that matters. They will vote based on that one issue alone. There are a few issues like that but anti-abortion is a big one. If the Republican party dropped it they stand to loose a lot of votes and thus elections. No, they wouldn’t necessarily attract a lot of pro-choice people. Maybe a few if the person is mostly conservative but was pro-choice.
The reasons someone would actually support a ban on it basically comes down to how they view it as morally wrong. Almost always it is based on the person’s religious views.
If you’re not getting interviews then the issue probably has to do your resume. Maybe formatting. Maybe the contents or job history. Have you been out of work for a long time? Lack newer tools/knowledge? Too much job hopping?
If you are getting interviews then the resume and where you’re applying is fine. Either you’re probably lacking in soft skills, interview skills, or not impressing them. There could also be a mismatch between the salary you want and what they want to offer.