Given that I'm an old fart, who actually sat up one night listening to them draw ping-pong balls to decide whether or not I'd get to go to Vietnam to possibly die in a war that the country had pretty much decided was pointless and stupid (kind of a Hunger Games precursor), I was really annoyed at Skylar's smily, stomping version. I know that Red Stater's seem to think that the first verse means exactly the opposite of what it says, then generally proceed to mumble the rest of the lyrics, but still. That's a pissed-off, contemptuous song, not a peaen to the red, white and blue. If she wasn't singing it mad (or sad, if she had the artistry), she didn't get the point.
I'm not sure why the red state/blue state thing needs to come into the equation since republicans and democrats can agree or disagree on this songs meaning but I do agree with your overall point regarding Skylar. I too was confounded by her disposition during the performance.