I agree that the bishop should take far greater action and while it is not implicit in Dr. Grossman's activites (since unfortunately he is engaged in completely legal activities), it is guilty of being timid and needs to stand up far more strongly.
They can certainly invoke the First Amendment.
If the doctor knew the church’s stand against abortion when he took the position, it weakens his case against them.
Likewise the fact that he can no doubt find employment elsewhere as a doctor. It’s not like the market is saturated. The AMA sees to that.