I think the question raised in the OP raises some very disturbing issues.
What rights do non-vaxxers want?
Seriously, tadamsmar, do you think any of us WANT to give up rights? We want the same rights that we are all assured of in the US: Life, liberty, and the pursuit of happiness.
We don't want to be deemed second-class citizens, with fewer rights, just because we don't allow an invasive, medical procedure done on our healthy children or healthy selves.
Think about it. What happens when you tell people, "Oh, you have a choice--you can choose to let us inject you/your child, or else you can choose to lose your right to
1) send your child to daycare
2) send your child to school
3) send your child to school-related activities, such as sports, music, theatre, clubs, and camps
4) attend college
5) work in ANY job in the health care industry
6) work for a school
7) work for a restaurant or food service industry
8) work in the hotel industry
9) work for the government"
Congratulations. You've just created a class of citizens who do not have access to education and jobs. Yeah, that's going to go well.
And you're trying to pretend it was their choice.
I call BS. Nobody has the right to take away rights afforded others, simply because they refused injections, especially when almost all of the injections required on the official vaccination schedules are not life-threatening or even serious for the vast majority of the people who contract them.
NOBODY should have the right to curtail anyone's opportunities for refusing an ineffective, potentially dangerous flu shot.
NOBODY should have the right to curtail anyone's opportunities for refusing a vaccine for a disease that, for most people, is not dangerous.
NOBODY should have the right to force invasive procedures developed and marketed by a heavily-profiting, corrupt industry that has partnered with an equally corrupt government.