You're clearly misinformed. The antivax movement is largely a grassroots movement built on the experiences of the parents of vaccine-injured children, and people who've read the literature comparing vaccinated vs unvaccinated outcomes. E.g. the large scale unpublished study conducted by the CDC, https://www.hsgac.senate.gov/wp-content/uploads/Entered-into... , which showed vaccinated children demonstrating higher rates of developmental disorders. There's not a single large scale study conducted comparing vaccinated with unvaccinated children that shows no greater rate of developmental disorders in the vaccinated group (the above study was supposed to be that, but when the results ended up showing the opposite the CDC decided not to publish it).
Ask yourself, if you believe vaccines aren't more dangerous than any other pharmaceutical product, then why not support removing the blanket liability immunity given to vaccine makers, that no other medical product needs?