Obviously something has to be done to protect antivaxxers' kids, people with compromised immune systems and the rest of us. I do though feel like tackling the antivaxxers would be like chopping off one of the Hydra's heads - this weird rejection of science, evidence and progress manifests in exactly the same, belligerent, wilfully stupid way across the spectrum: anti vaxx, flat earth, essential oils worship, aged piss enemas, turp drinking, black salving... And all these have links to fundamental Christianity, far right politics, people crying about fake news and the MSM... certain elements of Brexit *ducks*
Honestly I have no idea how you tackle all this at once though. The Dunning-Kruger effect is very much in effect. Plus, people have been led to believe that everyone in a position of authority is lying to them and everyone believing their lies is an idiot. And there's the additional problem that there is a tiny nugget of truth in some of these causes - some people are injured by vaccines, the establishment is lying to us about shit all the time. So I don't know, but I do think that this is just one facet (albeit probably the most important at the moment) of a much bigger, scarier monster.