Good. There is no better use of state power than ensuring public health. Supreme Court resolved this in 1905 w/r/t smallpox.
And where does the line for public "health" get drawn? Who draws it, the ruling party in power? Everything is health based if you want it to be.
Vaccination requirements have been a standard practice for well over a hundred years now, and the case for mandating a vaccine for Covid-19 is much, much better than the case for mandating many other vaccines that are already required.
This is health-based, clearly, and not just "if you want it to be".