it's not just the vaccine most of those people dont believe germs and virus are real. So I bet they will also stop washing hands or taking anti-biotic.
I personally think we should stop labeling a whole diverse group under the most stupid categorization we can think of. Media is also guilty of this, for example when some outlet posted something like “anti-vaxxers are now drinking betadine” despite being an isolated act of stupidity. This type of confrontation will only yield more division and therefore enhance distrust.