If you say something about my freedom stopping at his nose, then I remind you that the baby's right to live stops at the aborter's saline injection, scraping blade, etc.
libertarians might agree that abortion should be illegal, and might not. I'll explain why:
The core of libertarian philosophy: force and fraud are not acceptable, but as long as people are free to choose, the state shouldn't intervene.
Thus a libertarian would not be in favor of the state forbidding drugs like alcohol or tobacco or marijuana. If a person chooses to use such drugs it is his/her choice.
But a libertarian would agree that murder should be illegal.
So it comes down to: is an abortion murder?
libertarians who believe that life begins at conception, and even a one-week-old embryo counts as a person, would believe that abortion is murder, and thus should be illegal.
libertarians who believe that an embryo isn't a person yet would believe that abortion should be the choice of the mother.
The question of whether an embryo is a person is not one that is decided by libertarian philosophy, and thus two people who are libertarians might have opposite opinions.
All libertarians would agree that the state should not be using tax money to fund abortions. Some libertarians think the state should be very small, and others (the "anarcho-capitalists") want no state at all; none would consider funding abortions to be a legitimate function for the state.
P.S. I read an essay by Carl Sagan where he suggested that before brain activity starts up, a fetus is not a person, but after the brain is functioning it should be considered an unborn person. IIRC he said that is about the third trimester. (Note, I did a Google search and found one web page saying brain activity starts around 25 weeks, which would be early third trimester.)