It is not just that the unvaccinated are more likely to get the disease. That is not why they are limited in what they do. They are more likely to pass the disease on. That justifies limiting their actions.
My point is that should be determined not just by vac status but other factors involved.... just as we wouldn't judge a person is drunk by swerving on the road, there are other factors involved to know why that person swerved and hit someone.
The mandate is generalizing a whole set of unvaccinated people solely because they are at A risk of spreading the disease regardless of how little risk some of them are in relation to their peer.
The mandate needs to go off more than just vaccination status just as going to court and accusing a driver he killed someone because he was drunk won't hold up to court without evidence to that specific situation.
The problem with the mandate is it generalizes the unvaxxed population (making every road having a universal speed limit) when in real life people are just different living, different risk, and so forth.
Since the government cannot track each individual person, that's why the issue. It's the generalization and application of mandates on people a good chunk of people with whom it is not appropriate.
Maybe after awhile they'd see it backfire, people loose their jobs more profoundly, the Delta Variant takes off despite our attempt to control it, more breakthroughs, and new boosters every other year. People act like mandates are a magic wand.