In our town at least, all of the pediatrician practices that I know about, will not accept a child either did not start with them as newborn, or who moved to the town. This is handled by the front desk, before any discussion of care or vaccinations.

At least one pediatrician in our area will also dismiss your child as a patient if you do not schedule something approximating their recommended appointments schedule with them.

I agree 100% with you that refusing to care because of vaccination choices should not be done, and that it does harm the cause of vaccinations. (That's the point I was trying to get across in my original post.)