If he practiced what he preached it would have made it easier to support. You're right about political debate, if it can even be called that.
I was reflecting after my previous comment and realized I don't support vaccine mandates in practice. I chose to get vaccinated and I believe it's a sensible precaution, but it runs afoul of my sensibilities to fire federal employees who refuse to get vaccinated. Federal positions are public, and people shouldn't be forced to do anything in public spaces or public institutions: get vaccinated, pray, wear clothes, or anything else, as long as it doesn't infringe on other people's rights. Someone offended by witnessing another person practicing their rights is not a violation of the rights of the observer. I.e. shaming breastfeeding mothers, nudists, open carry advocates, etc.
Exceptions must exist where public health and safety are concerned a la shouting fire in a crowded building not being protected as free speech, or hairnets (and clothing) being required in food service and medical settings, or firearms in (somewhat ironically) federal buildings. Vaccination mandates may be ethical when public health and safety are at stake, by weighing everyone's collective right not to have their health and/or safety imperiled against individual people's rights not to decrease the risk of those perils, but that's (as most political issues are) murky.
Even as enacted vaccine mandates are a far cry from someone kicking your door down and stabbing you against your will. That would be as much of a flagrant violation of personal rights as Florida prohibiting private businesses from requiring their patrons to be vaccinated.