I’m an attorney and I’m still not seeing it. You provided no basis upon which any court could force an individual physician to perform a certain procedure or surgery.
Any idiot can file suit to assert that they have a “right” to something but they must have something in the state or federal constitution or statutes upon which to base their “right.” I had a friend who used to defend a state governent against ridiculous suits filed by prisoners at the state pen who had easy access to a law library and nothing but time on their hands. They sued over stupid things like cheap peanut butter in their meals, but they had no genuine legal basis to force a change. They filed and she got them dismissed, but of course they continued to do it because the law allows people to file weak cases.
Even if a court concedes that a person has a “right” to have a certain procedure, it does not mean that they can automatically show up at some doctor’s office and force that doctor to perform the procedure. For instance, even where abortion is legal right now a person cannot go to an OB/GYN or any other type of MD and demand that they perform it if that doctor does not perform abortions as part of his/her practice. It does not matter if they learned how in med school at some point. I don’t know of any way that the government or anyone else can force them into that activity.
Even if a stranger is going to die right in front of a doctor (or any other trained person), no law requires them to act to save the person. It is harsh, but true. They can walk away just like any other person. Therefore, I don’t believe a doctor can be forced to perform an abortion against their will. Even if they were dragged to court over a refusal, I believe that asserting it is outside of their area of competence would take care of the matter.