When you fight with Big Bird on Twitter you've already lost because you automatically become a self parody.
Are they mad when Sesame Street recommends other healthy choices like exercise and minimizing junk food?
Vaccines are good for you, vegetables and exercise are good for you, don't really see the difference here. If you say vaccines cause autism or sterility, you're simply wrong, that's not an opinion, just like if you said fried chicken was better for you than salad.
Fundamentally it's not propaganda because vaccines have nothing to do with political ideology, no matter how much some people may like them to.