I would (controversially, I know) back a system under which refuseniks (not those who are unable to have the vaccine, or who have not yet been offered it) were banned from going to gatherings of more than a few people, from going abroad, from using public transport etc.
But as that hasn't happened, and is unlikely to happen, I accept that it is none of my business if a friend or colleague chooses not to have it. I would never try to persuade people to do things that are against their principles - that seems to me impertinent, and akin to cross-questioning a vegetarian about their choices. Also, if someone chooses not to tell others about their vaccine status, or lies about it, how would one 'deal with' that situation?
I don't see myself as some sort of unofficial law-enforcer. I disapprove of those who refuse, and think the attitude that those who have had the vaccine should act as lab rats so that others can wait to see if we suffer side effects before getting theirs is arrogant and selfish, but as long as that is legal there is nothing I can do.