One of the biggest things that always bugged me about the anti-Vaxxer movement, other than they are getting their 'facts' from kooks and celebrities ....
Some of them are. Consider, however, the veterinary profession, which has put the financial welfare of its practitioners at risk by severely undercutting its original vaccination protocols on the grounds that over-vaccination has been shown to cause autoimmune illness and certain cancers in dogs and cats.
Or consider the fact that a vaccination is a challenge to the immune system, and as such is liable to temporarily weaken that system while the challenge is being addressed. When you receive a vaccination you have no way of knowing what pathogens or conditions are working in your body that require all your immune system's resources. You could conceivably have a tumor in an early stage; something that your immune system might naturally deal with that it would have problems dealing with in a less-than-optimum state.
People can be naturally suspicious of vaccination without having to be labeled as kooks or cranks, and at all events, they have a right to make their own decisions based on what they perceive to be their interests.