I think you've entirely missed the boat here. The point of vaccines is to protect both oneself and others. Nobody should be forced to take a vaccine, but if the heath challenge is significant, no one should reject a vaccine and go into public spaces.
I don't think anyone was proposing breaking into people's houses and vaccinating them by force. Vaccines are like taxes, DUI laws, food inspection, etc. - the admission fee for a functioning society.
The problem is creating a nation for "we the people" when the right doesn't believe in the idea of "we".