please, it was a one line comment, how could you have misread it?
the antivaxer comment is about opting out for something that is immediately beneficial (disease screening) and long term (research) in lieu of paranoia (in case of a working government) or privacy (in case of a broken government as it is now, according to the article).
the right course of action is not to deny your children of the proven benefits, but to force the government to respect the individual and its own processes/institutions.