"Wouldn't that answer all the questions that anti-vaxers have?"
Nope. Antivaxers always have more accusations and insinuations to throw out. For instance, take the great amount of evidence showing that the thimerosal preservative formerly used in routine childhood vaccines is safe. Antivaxers, when they're not totally in denial about the evidence, simply shift their emphasis to other alleged "toxins", again without evidence.
Face it - the only real difference between vaccinated and unvaccinated children is that unvaccinated children are more likely to get potentially dangerous preventable diseases, and to spread them to the rest of the population.
If you have any facts to the contrary, bring 'em on.
It's incumbent on those making the accusations and claims to supply the proof.