"Anti-Vaxxers"
Terminology coined for just this scenario.
Recall when it first started a number of years ago.
Useful Idiots in Hollyweird used to gain visibility for concerns over vaccine safety.
Not wanting to give to their children.
Splashed across ALL media.
Those against vax demeaned and discredited as not doing what's needed for "the greater good."
Voilà!
Anti-Vaxxer is coined.