@Tolstoy
"Actually, doctors are licensees of the government,"
So are drivers. I fail to see how this is relevant (unless you're going to try to shoehorn in a requirement that drivers act as taxi services even if they aren't signed up with Uber).
"...and can have their licenses revoked if they refuse to give medical aid in emergency situations."
Because, you know, elective abortions are so often need urgently. But if we're switching over to talking emergency situations now, then your OP is completely off topic.
"Considering the flexibility of our legal system, I imagine it wouldn't take much to expand the same legal principle to include abortions."
Do you have evidence that this is in the offing, or are you just shooting from the hip and hoping it hits the rest of us in the gut?
"Just imagine the lawsuit when some pregnant 15-year old goes to some rural hospital for an abortion at 30 weeks and is turned away because the one doctor who doesn't mind doing late-term abortions is on vacation for the next six weeks. No insurance company is going to permit doctors' consciences to get in the way of their avalanching legal bills if doctors are declared to have a legal duty to perform abortions."
And now we continue with making assumptions instead of proving claims, with the addition now of extrapolating conclusions based on those assumptions. "If doctors are declared to have a legal duty to perform abortions," then there would have been a large step taken beyond existing law and jurisprudence. I ask again, do you have evidence that this is likely, or are you basing this on a hazy and vague (potentially alarmist) conception of the chance that some sort of judicial skulduggery might possibly result at some point in the undefined future?