I work in the field of science and know how and why the vaccines are made.
What I can say without a doubt is vaccine has more benefits for you than risks it poses.
There are quite a lot conspiracy going on about vaccines that could be a result of distrust of the establishment but they hold no scientific truth.
Still whether you want or don't want a vaccine is your choice. And whether someone would let you in their property or not is their choices. Everyone has their choices.
So by this logic, you are OK with it if some shop owner decides not to take any vaxxed guy/gal in.
If people keep going full nazi on the unvaxxed, a counter force will occur against the vaxxed people.
Action > Reaction.
There will be restaurants and flights that only take the unvaxxed as their customers. Capitalism is awesome.
It's not good to force people to any camp. That would create more problems.
So let them decide where they want to be. Society is already divided by politics and other opinions, this is a temporary one.