By the same token, didn't the left's response destroy any credibility of the phrase "my body, my choice"?
But this argument also applies to the "You're killing Grandma!" crowd. Very few truly believe that refusing to take a vaccine is a murderous act, and that's why the most they do about it is whine online.
In both cases you have people using very hyperbolic rhetoric to support a position they don't actually feel so strongly about. Very typical of American politics.
But, the moment you start interacting with society at large, you have to follow that society's laws. Laws which have always included things like quarantining and mandatory vaccinations to prevent the spread of infectious disease.
See, as one example, the 1920 response to the Spanish Flu epidemic.