> Leaving up a popular anti-vax video is just as political a decision as taking it down
That's a misconception, and basically what the whole trolley problem is all about. Doing nothing is not the same as doing something. Each have their own ethical consequences and it's not as easy as you think to spurt out the "right" answer. Sure, you might have a preference that's difficult for others to argue against or for, but others also have the right to reach a different conclusion.
With that being said, may I ask you what you know about vaccination? Are you using information from articles you've read online from "authorized" sources, or are you an expert on the matter? Again my point here is not to say that you're wrong or right, you're absolutely free to reach whatever conclusion you desire, but it's really difficult even for actual experts in the medical field to know what's going on currently, who's motivated by altruism, greed, selfishness, or cronyism. Taking up these stands and pretending it's "science" is an insult to science, because "science" is ever evolving and there's no such thing as consensus in the scientific process.