I could see the case where I support vaccinating someone against their will. I couldn't see doing that because the person, once, made a bad argument in the doctor's office.
I don't support mandatory vaccination for the same reason I don't support the drug war. No government has the right to tell me what I can or cannot put into my body. Simple as that.
But vaccination is a public health issue. You endanger others by not getting vaccinated, which is why for instance kids have to be vaccinated before they are allowed to go to school. I am much in agreement with personal liberty but part of the social contract is to take these preventative steps to improve the quality of life in our society.
Not letting kids into school is already a good way to handle this issue. It ensures that the majority will decide to be vaccinated. I'm fine with the way it is.