Another reason why I will never have kids or marry at this point. Can't lose the game if you don't play. This is fucking awful, my heart breaks for you. So sorry, op.
I realize how difficult it would be to leave her. Leaving is not easy, no matter the situation. She knows this and will continue to do this to you. I would organize an exit strategy asap.
I think the better way to look at it is that some men don't want kids. At all. I for one don't want one and if abortion is off the table, then this exists as a way to prevent pregnancy. I would never do it to stand in solidarity with women.
This reminds me of some news program I caught a glimpse of, on Father's day. The woman started off by saying Happy Father's day to the two guys on with her and ended it with: "And Happy Father's Day, to myself." Not sure if I'm making an issue out of nothing, but it seemed pretty petty.
I believe they get your ID and call an outsider to look it up in public records. Something along those lines. Might even ask CO's, who knows. I don't go to prison.