Vaccines work, no refuting that. But over vaccination is short-sighted and dangerous.
As our bodies evolve to depend on aid, viruses and bacteria will mutate to be impervious to the advancements in preventative medicine.
Essentially by doing this now we are depending on our race to perpetually be in the same technologically superior position were in now forever in order to keep advancing to combat the mutations.
At any point thereafter if we go through a regressive period in tech and advancement, the regression will inhibit our bodies from cultivating a defense and it will likely be equivalent to the plague in terms of severity as our immune systems do not have the wherewithal to defend against it.
Not to mention that statistically some will receive a non-inert virus in the vaccine that will infect him/her. Not a big enough statistic to be antivax, though with the original post in mind, it makes the vaccination approach that much more of a liability to the people.