My guess that's what the CDC will demand, and most large countries will follow suit.
I don’t like paying for auto insurance. Never had an accident in 58 years of driving cars all over USA. But the states force me to buy “liability” insurance. It is a good civic requirement. It protects others if I cause an accident.
Most schools will not allow your child to attend if child does not have all required vaccinations. That protects OTHER children.
Exact same thing with covid-19 vaccine. It should be mandatory to participate in any group activity with strangers. Such as flights, cruises, inter-state buses, movie theaters, etc. It is your civic duty to stop spread of the pandemic by vaccinating yourself.