From your example, surely the same could be said about doctors? Complaints could be filed against them to their superiors and they'd be dealt with accordingly. Has there never been a case where a patient has sued a doctor for refusing to treat her?

Oh yes, I understand the patients right to choice, and I was thinking about this in the car a couple of hours ago, this is how much I’m loving this little tête-à-tête we're having here, I’m thinking about it outside lj :-)
Going back to something you said earlier about the difficulties of trying to find a doctor who will carry out an abortion. I initially thought, why not make a database of doctors that the public can access to find out who does and doesn't do abortions? Then I realised that 'pro-lifers' would use it as their own online hit-list, so instead of a computerised one, each hospital in the US must have a hard copy database based on the same idea, that can only be accessed upon request, by a pregnant female explicitly seeking an abortion. Also she must show proof that she is pregnant, none of that 'I’m only in my first week, so I'm not showing' rubbish that could be used by a female pro-lifer to gain access to the database; no men are allowed to access the database, end of story...
Well, I think it's a good idea!