I worry about Europe though. In the US
Europe is not a country. Each nation state in the EU (and I imagine it's the EU you're talking about, as opposed to the entire European continent) has its own health policies and can do what they like regarding vaccines.
in Europe - they can bar you from schools, jobs, and fine you tons of money for refusing vaccines.
As I said above, this is not an EU directive nor European law and it varies from country to country. In Ireland there is no legal requirement to vaccinate your child. It is recommended obviously for thing like TB. When you enrol a child in school, you don't need to present any proof of vaccinations and although the Health Service visits the schools to carry out vaccinations, it requires written permission from the parent or guardian to allow their child to receive vaccinations. Over the years that I was teaching, there were parents who preferred to have it done by the family doctor so they signed the refusal form, rather than the consent form.
I'm interested though - in which European countries are you barred or fined? I can see the sense of it. For example in a country like Poland that has a lot of immigrants from Ukraine, there is a real danger of TB reappearing as it's still pretty rampant in many countries further east.