the US military wouldn’t confront Prince with immediate and overwhelming force
You realize that’s the worst-case scenario of the incident we’re talking about, right? A sane leader would want to avoid starting a pitched battle in their backyard at all costs, and that’s entirely independent of speculation about control over the military.
The scenario is borderline unimaginable in a developed country with anything resembling a modern political infrastructure.
We had a half-assed putsch of our own not even three years ago.