Only teenagers think that refusing to do what authority figures recommend marks them as independent. Adults know that doing the exact opposite of what authority figures recommend is a sign of immaturity, not deliberation, and certainly not education.
This is what is comes down to for most anti-vax parents: it’s a source of self-esteem for them. In their minds, they have “educated” themselves. How do they know they are “educated”? Because they’ve chosen to disregard experts (who appear to them as authority figures) in favor of quacks and charlatans, whom they admire for their own defiance of authority. The combination of self-education and defiance of authority is viewed by anti-vax parents as an empowering form of rugged individualism, marking out their own superiority from those pathetic “sheeple” who aren’t self-educated and who follow authority.
A good post about the antivaxx movement and their ego. I think that it nails most of INGO's vaccine conspiracy theorists and their doctorates from Google University.
What everyone gets wrong about anti-vaccine parents | The Skeptical OB
Various authority figures have stated that you shouldn't have guns.
Have you showed how adult you are, and turned yours in?