Would you really expect a pediatrician to engage in open discussion about the same topic with every meshugener anti-vax parent who comes in? She’s come to her conclusion a long time ago, and has every right to say that if you don’t agree with her approach, go find another pediatrician.
Everyone has a right to do whatever they want. But if you want to know why there’s an anti-vaxxer movement to begin with, I think this is the reason.