Because we live in this country and whether anyone wants to argue with it or not, we have the best free speech laws out of any country. No doubt it's not perfect, but because of how our country works, there is no answer to the question of when these conversations will stop. Society had had enough. Our system needs fixed as a whole. I'm not radical in thinking we need to strip it down and start back over or anything along those lines, but there are things that need to be changed and it's time some people get their heads out of the sand and do so. There has already been good change, but more is needed.
I think it's also important to point out the impact COVID being at this time is. Right now, with entertainment as a whole being a sliver of what it was, the overall conversation is staying put on this movement. That's why you had some NBA players questioning whether bringing the season back would be a good thing. They were afraid they'd be a distraction from this conversation. Fortunately they've been coming up with ways to keep the conversation going while also being able to play.
The last point about the "random" acts of violence you attributed to.. I wish some of these situations wouldn't get violent, but most of them actually do start peacefully and it takes one stupid person in the crowd or one stupid police officer on the other side and then everything gets out of control. Also, while I do not advocate for violence, I can certainly see why there have been times when violence has occurred. This entire movement was being told how they could and could not protest before this. Some people just said f*** it then, and took matters into their own hands. Again, I wish it wouldn't have gotten to that level, but I'm not surprised it did.
To give a short answer though, no this is not how it will be forever. Look at any issue anywhere in the world where people have revolted. Time passes whether it be weeks or months, and things fizzle out usually. We're not in a civil war. The protests will die down at some point but CHANGE IS NEEDED.