As another comment said, if the unvaccinated were willing to stick to their "ideals" and die at home instead of an ICU bed, I would be a lot more amenable to arguments against mandates.
But as-is, normal people who took precautions to get vaccinated are being hurt by anti-vaxxers when they get an unrelated illness or injury (car wreck, infection, etc) and then suffer worse outcomes (including death) just because the ICU beds are full of people who could have literally just decided not to be in them (given how effective the vaccine is at preventing hospitalization).
Our society is far too interconnected for almost anything to not at least indirectly affect someone else, even if the first-order effects are well-limited to "just you".
Never send to know for whom the bell tolls, it tolls for thee.