Recognizing that abortion is a very sensitive issue and that people, including libertarians, can hold good-faith views on both sides, we believe the government should be kept out of the question. We condemn state-funded and state-mandated abortions. It is particularly harsh to force someone who believes that abortion is murder to pay for another's abortion.
It is the right and obligation of the pregnant woman, not the state, to decide the desirability or appropriateness of prenatal testing, Caesarean births, fetal surgery, voluntary surrogacy arrangements, and/or home births
IOW, the same stance the demos have with abortion, that it should be legal. I surmise partial birth abortion is covered under "fetal surgery".
Ah, so they have a position--one that advocates small government--consistent with the LP's stance.
I'm not going to get into a debate on abortion here, because I'm not interested in doing so. But the stance is clear and it is there: ok, you don't like it; many Libertarian's disagree with it, but it's there, and it is consistent with the LP's position of small government and individual rights.