Well, in preparation for that

I think it's also important, when considering violence, to keep in mind the way that the left and the right think about it is very different. Most notably that can be seen with property damage. (I'm using 'Left' and 'Right' fairly generally here, but more so meaning actually left/right wing, excluding the center left/right in the US).
Property damage in left wing circles is seen as not a huge deal - especially compared to damage done to actual people (eg, bodily harm or death). Situations like a police department being set on fire, or looting a Target, are simply not going to be seen as actual violence by many on the left, if the only damages that happen are property. By contrast, something like shooting tear gas at a crowd - which will cause bodily harm - is generally viewed as more violent than that.
On the flip side, the right wing has a very different view of it. Property damage appears to be put on the same level - if not above - violence against other people. We can see that in the many groups of militias that self-organized and unilaterally appointed themselves to go off and 'defend' property - often without the people who they were pretending to defend knowing or wanting them to - fully prepared to use deadly force if they deemed it necessary. There's an apparent view that if someone is damaging or attacking your property (or anyone's property if you're around and feeling 'generous'), that use of *any amount* of force is completely justified to stop them. And that's how we get someone like the Kenosha shooter getting celebrated widely in right wing circles, despite killing multiple people over *ostensibly* going to the city to defend a ruined parking lot without the owner having any idea they were doing so.
Moving past that, the right wing also has a much more effective - and general - feedback loop with regards to violence. There's some parts of the left that can certainly be the same - but they're more insular and small, and don't propagate as widely. To illustrate, I'll use Antifa. Antifa in left wing circles is extremely decentralized, and though mostly runs around the same sets of circles online as the larger 'far left', there's not really any organized flow of information. There's a general positive view of them in that wider circle, but calls to violence are not really a big thing outside of going down and confronting extreme right rallies. At the least, there's little to no penetration of mainstream media - even the left of center ones - by antifa.
But the right wing response to Antifa is a very telling way of looking at how effectively the far/extreme right penetrates into the mainstream. It starts with extremely biased/fake 'reporters' that operate on twitter or unreliable sites (most notably Andy Ngo and Ian Miles Chong, from what I've seen). They compile massive number of clips of antifa violence - usually edited to only include the violence on one end (egregious ones off the top of my head include a picture of a guy on the ground injured, without including the moments before and after where he was charging into a left wing crowd attacking people with a baton, or a bus clip where they tried to make it look like antifa attacked people on a bus with a hammer - when the hammer was initially used by someone on that bus to attack first, and got wrested out). The point, though, isn't to be accurate - it's to build up a massive amount of 'evidence' of extreme & scary violence.
That then gets circulated extensively around the online right - and *then* gets picked up by the right wing media. Ngo has gone on Fox News somewhat often - and that narrative of 'scary, threatening Antifa' fits in perfectly with Fox News programming. And that percolates out into the wider 'mainstream' right to a degree that simply isn't the same with the left. I think it's part of what's led to QAnnon being such a major hit in the right wing, with so many people falling for it - after all, I've had family members who are moderately right wing freaking out over protestors marching downtown - like 5 miles away from their house - because they thought it would be entirely Antifa and that they would burn the city down. It's not any wonder that so many right wingers are primed for violence - their information networks continually make it seem like they are personally under attack and that it's necessary to fight back.
Seems like I got a bit carried away again
