http://vaccines.procon.org/
...all 50 states require certain vaccinations for children entering public schools.
Let's read that quote in context:
All 50 states require vaccinations for children entering public schools even though no mandatory federal vaccination laws exist. All 50 states issue medical exemptions, 48 states (excluding Mississippi and West Virginia) permit religious exemptions,and 19 states allow an exemption for philosophical reasons.
The part that says "no mandatory federal vaccination laws exist" means that the US does not require vaccination.
The part that says "All 50 states issue medical exemptions, 48 states (excluding Mississippi and West Virginia) permit religious exemptions,and 19 states allow an exemption for philosophical reasons" means that parents can sign a vaccination waiver. I was raised in a church where everybody got those waivers. It was no big deal. Same thing happens in lots of churches And everywhere else - they don't ask "Oh yeah, which church?" - parents sign what they need to sign and that's that.
The part that is not written is that, since we have a private medical system, nobody can actually track whether a child has been vaccinated. There are no uniform "vaccination ID cards" in the US, so you can pretty much write down what you want when you enroll your child in school. You have heard of outbreaks in the US due to unvaccinated children, such as the recent measles outbreak at Disneyland. If vaccination were mandatory in the US, as you claim, from where did these unvaccinated children materialize?
My cousin was never the same after he had childhood measles in the 1950s. He required thousands of dollars of medical treatment and hospitalization each year, and he died of common complications of childhood measles at the age of 27.