It’s insurmountable – vaccine hesitancy is a deeply held belief.
Wolfe and Sharp 1-9-2002. [Robert M, assistant professor, Department of Family Medicine, Northwestern University's Feinberg Medical School; Lisa K, Department of Family Medicine, Northwestern University's Feinberg Medical School; “Anti-vaccinationists past and present,” https://doi.org/10.1136/bmj.325.7361.430, Available on PMC //cpsw-ay]
These comparisons emphasise that, regardless of how the medical establishment feels about anti-vaccinationists, it is important to understand that they have deeply held beliefs, often of a spiritual or philosophical nature,11 and these beliefs have remained remarkably constant over the better part of two centuries. The movement encompasses a wide range of individuals, from a few who express conspiracy theories, to educated, well informed consumers of health care, who often have a complex rationale for their beliefs, related to a “mixture of world views held about the environment, healing, holism … and a critical reading of the scientific and alternative literature.”12