Physicians treat patients not symptoms, if you do not like the way your pediatrician manages your child’s health care, such as believing in vaccinations feel free to switch over to a different pediatrician.
On the other hand, if you have a different belief on how your child’s health care should be managed then your pediatrician, your pediatrician has the right to exclude your child from their practice. Although it would be appropriate for your pediatrician to sit down and explain to you on why they believe in vaccinating children (as the CDC recommends doing) rather then just excluding the child from the practice.
Most pediatricians I have bumped into are pretty reasonable, they usually agree in delaying vaccinations or giving them more spread apart.
Also, there were some very reasonable posters with valid and reasonable concerns with regards to the current vaccination recommendations, however this is not the thinking of the main stream anti vaxxers, they are full of conspiracy theories and non sense.