I guess but I have a hard time believing that military grade equipment and weapons wouldn't beat armed civilians
Like I said, depends.
How motivated are the soldiers? How trained are the ones that didn't go AWOL once shit went down?
The general population has a lot of folks with active duty/combat experience. And not just the grunt level, but NCO and officer level.
And lastly, this is the US, everybody has access to "military grade equipment". Maybe not high-explosive (unless you try REALLY hard), but weapons and kit are mostly available.