Requiring vaccination is "curtailing liberties".
Restricting movement due not being vaccinated is "curtailing liberties".
No shit. One can either be part of society or not. Society has minimum requirements if one wants to participate. One is free—exercise their liberty—to live as a hermit if they don't want to do either of these things. That's the price of admission of getting the benefits, whatever they may be, of interacting with other people. Added bonus, the rest of us don't need to hear about hermits complaining about their liberties then too.
Building sewage management infrastructure is not curtailing liberties. There is very little noise made about having to give up liberties because of the majority of other public works. Civilization decided that shitting on the sidewalk is not something that should be encouraged or condoned, so here we are with our sewage management infrastructure. We gain the freedom of not having to dig a hole and maintain an outhouse.
No one is giving up any "liberties" by getting vaccinated, but it's more likely they are acquiring liberties by getting vaccinated. At the very least it's the liberty of reducing the risk of dying.
This is all a "I don't want to do what you said I should do purely because you said it". Fine. The rest of us are at liberty to exclude or chastise these people.