"A website" that can get the reach among parents of FB's newsfeed? Yes, I think there are few anti-vaxxers who can build such a thing.
An anti-vax post on a FB newsfeed is quite likely to have counterarguments. An anti-vax website is unlikely to run into such problems.
And going back to the original post: does "vaxxers on FB, anti-vaxxers elsewhere" sound like more polarisation, or less?