I think the crux of the issue here is not so much that they were "rejecting democracy," but more along the lines that they believed that the election was somehow fraudulent or rigged. Why did they believe that? The contention by some is that Trump goaded them and riled them up, along with some of his other cohorts like Sidney Powell, who initially claimed they had "mountains of evidence" to prove fraud. But then, when it came to bringing their evidence to court, it was like "Sorry, my dog ate my homework."
Rush Limbaugh was still around, and he, Sean, and some of the others on the right-wing radio circuit also kept harping on it incessantly all through November and December of 2020. They're still going on about it to some extent. Of course, they'll say that they don't reject democracy and instead make the reverse accusation and claim that it was the Democrats who did that by rigging the election. Here in Arizona, Kari Lake is still fighting her case after losing in the gubernatorial election in 2022.
As for the January 6 incident, it was bad, although I don't think the U.S. government was in any real danger of being overthrown, mainly because it was clear that the military was going to uphold its sworn duty to the Constitution. They made that clear weeks earlier. One of the strengths of the U.S. system is having checks and balances built in to be able to allow the government and system to still operate - even in the face of some catastrophic event.