I think that nobody should be coerced to vaccinate, himself or his child. I vaccinated my child because I considered that it is better like this. However, each person should have the right to choose for himself, ideally after knowing the true known risks of vaccinating and not vaccinating.
There is this theory that people that refuses to vaccinate prevents the full eradication of many diseases. They say that refusal to vaccinate not only affect the people that decides this, but also the people that vaccinate themselves but are in the small percent of people where vaccine is not effective.
I say we should take this risk of having not-vaccinated people in society. Here are some arguments: