Comment: Anti-vacciners need not be uneducated, as situations like this create the opportunity for very selfish folk to free-ride the system, reducing risks associated with taking vaccines while enjoying the protective benefits associated with the rest of the 'herd' being vaccinated.
These folk are fundamentally anti-social opportunists, but they need to be reasonably educated to calculate their narrow personal incentive in gaming the system, but not so educated as to understand that their incentive diminishes as more of them join the game.