I don't think anyone should be vaccinated with an unproven vaccine. Any vaccine issued should have cleared Phase IV, with minimal short-lived and long-lasting side effects. I won't take a vaccine, nor have my children vaccinated until then. I'm also looking at the current rush for a vaccine with a jaundiced eye. I think the likelihood of ever finding a vaccine for SARS-CoV-2 is small, however I hope we get lucky, and the tremendous resources being applied to finding a vaccine pay off.
I don't think we disagree about the new vaccine risk level, since we don't have a vaccine, nor know anything about its side effects.
If a vaccine is has differing risks based on age group, then I would hope that we vaccinate the lowest risk group; assuming the risk variance is significant.
As a society, vaccinations are naturally government infringement upon individual rights. But a well-functioning society routinely infringes on individual rights. We place children in protective services when their parents don't care for them properly (in the mind of the government). We (in extreme times) invoke a draft for military personnel. As my dad used to say, your right to swing your fist stops at my nose. Rights are not inviolable; though care should be taken to limit infringement.
As SC Justice Robert Jackson once said, the protections afforded by the Constitution "must not be discredited by an interpretation to mean liberty without law."