One of the most amazing logical disconnects people have is on the issue of abortion. First there is the most repeated straw man that a woman should be able to do what she wants with her own body. This of course is wrong because the issue is not her body, the issue is the body of her child. Some people might say that the fact that the child is dependent on the mother as a host body, or because it cannot live aside from the mother somehow changes the rules. Of course that is absurd. I don't have the right to kill people dependent on me, nor should I. In the same way dependence is not a justification for murder in the case of an unborn child.
Then you get these zany ideas (and when I say zany I mean Charles Manson devil worshipping level of evil) about how it should be illegal except for cases of rape and incest. This assumes that there is something wrong with abortion other than the fact that it is murder. If it is murder, than the child’s lineage should not matter. The cost to the mother is unfortunate, but just because someone inconveniences you does not mean that you have a right to kill them. Even in cases where the guilt lies with the same person who is inconveniencing you, you still don't have the right to kill them. Take the case of my friend who lived in an apartment where the residents above her broke their toilet and instead of calling the land lord to get it fix, just kept using it while the sewage dripped down into her bathroom. As they were also not paying rent at the time, they should have fit the bill in every way to make their killing permissible either by my friend or the land lord. The were inconvenient, and dependent. But still to murder them would be a crime, as it should. It's no different in the case of a child conceived by rape and incest, except for that it might be a bit more extreme, but the rules are the same.
The last major fallacy that seems to infect most of the right is the idea that murdering children should be a state issue. Of course if you don't mask the act of taking a baby and sticking a fork in its skull until dead behind terms like abortion, then the reason that it is not a state issue becomes perfectly clear. Its against the 14th amendment right now, without changing any laws, as the 14th amendment does not allow for denying anyone of their life without a trial, and in many states doctors are already legally forced to admit that unborn children are separate living beings. Even if the constitution was set up in such a way that it was a state issue, any leader who does not see protecting innocent life as something that comes before honoring some piece of paper, is not fit to lead a herd of lemmings of a cliff (ok I guess you still may consider them for US public office).