I'd advocate for skepticism. Sure check every claim, verify what you must. But when theres a mountain of evidence the whole "vaccines bad" thing doesnt hold up. At which point society has to ask - if there's nothing more we can do, why even bother ? the ideology is kinda parasitic too as it actively hurts people who believe in it. Why do this to yourself and others ? Its just inexplicable.
Anyways enough number of people believe in vaccines to have cured a pandemic. I dont think we need bother with a handful whose whole schtick rebelling against useful stuff.