How is the military handling this?
Consider a possible plan:
Take a few units. Pre-emptively quarantine and deliberately expose them to COVID-19. Wait until they're all the way through, then repeat with the next few.
There's a certain cold logic to it. They're generally young and healthy, so most of them won't fall seriously ill; for the few who do, there are military hospitals. They're already under military orders and jurisdiction, so you should be able to define and enforce a truly strict quarantine. And presuming that you're fully immune after you've been through it (a non-trivial assumption, but one devoutly to be hoped), that gives you a growing number of soldiers who are able to step in and help if things truly hit the fan.
Of course, there are any number of really nasty versions of this scenario, where this becomes the leading edge for a coup of some sort. But I still mostly trust the US military more than I do our actual leadership at the moment.
Not sure whether something of the sort is actually happening now, but if I was at the staff level, I'd be at least seriously investigating this approach...