I don't know if I would call it a "schizophrenic stand".
There are many conservatives I know who believe abortion in the case of rape or incest is okay. It is either a person or it isn't. The brain and heart start shortly after month 1, making all normal abortions killing "brain alive" person. In self defense, perhaps, but otherwise???
Ask them what other crime do they believe an innocent victim of the crime should be executed.
In 2002, Jim Oberweis, a republican candidate for the U.S. Senate, in Illinois said, "I'm strongly pro-life. I think that abortion is murder. However, I don't think that the government should do anything to restrict abortion rights." I asked a few people, "What's the difference between that and what he would say if he was pro-choice?" We all agreed that there's no difference. He ran in a three-candidate primary, and he was second, with 30%.
This year, Oberweis is running for governor, and he says that he's strongly pro-life. In the primary, I'll vote for St. Sen. Bill Brady. He has a voting history, in the legislature, of voting pro-life.
I've never understood the illogical and spineless rape/incest exception. I might argue with you mightily about the crossing the bar at one month, but once it's a person, it's a person and the mother's choice becomes irrelevant. And unless maybe the bar is at conception, the woman-held-hostage-by-the-parasite (feminists are such perpetual victims) is complete trash because the fetus crossed the bar at the woman's behest (otherwise she would have gotten rid of it immediately upon finding out she was pregnant).