No, not really. I've lived in states where vaccines were required to enter grade school, but there were religious and conscience exemptions. And flu shots are often required in health care. That status quo was far less invasive than what is being proposed here. I have never had to prove vaccination status to just do ordinary things in my life before.
The fact that some people don't recognize that gift as what it is because they've been misinformed is irrelevant because, well, whatever they believe is simply not true.