I suggest those Pro-Disease people get their own island, secluded from the rest of the world. Everyone will have a certain understanding if they kill vaccine missionaries on sight.
That version also helps solving another problem in the long run:
Well, let them try a bit population dynamics when they are on their own. On the fucking back side of the moon, if they must.
To cite the only line Breaking Bad was worth watching: Science, bitches.
It works. With a quite narrow confidence interval and a good R².