I might agree with you if warrants were executed from judges, police came down, held you down, and a FDA doctor stabbed a syringe into your arm. Some posters here seem to believe that. I might also be inclined to believe you if the risk of receiving a vaccine was in any way shape or form, mathematically equal to, or greater to the risks of not having received the vaccine. But no, nobody is compelling it by force of any kind. It is enforced less than seatbelts and speeding, save for one exception: Public Schools.
A Public School is a government institution paid for by tax dollars. Considering that for a moment, now lets also consider that the students are not age of majority and cannot make their own decisions when attending a public school. And lets also consider for a moment, that Schools are already the worst petri dish your family can be exposed to, coupled with the fact that vaccines are only truly successful when they reach "herd" levels of immunity. So if it is justified to enforce seat belts - for your safety, why is it not justified to say "you can't let an un-vaccinated student attend this government school", where not only is the risk greatest - by far - but the people attending lack any choice to be there, and it's a government owned institution on top of it.
However, let's take the opposite approach for a second. Lets say, nobody can suggest you should get a vaccine, it's entirely a personal choice, enumerated as the 158th libertarian amendment to the U.S. Constitution. Nobody could disagree with anti-vax propaganda. And if the herd isn't vaccinated anyway, why bother getting stabbed? What do you think the vaccination rate would honestly be for many of our most deadly of diseases?