But when the workers and the owners are fighting at a large enough scale (beyond one or two murders), it forces the government to come in and mediate between the two sides. They must reach a compromise in order to quell the violence.

This has never occurred historically. What historical period of workers and owners fighting at a large scale are you alluding to? That hasn't ever occurred in America. What usually happens is that people vote, and that's what causes the government to act.

Which means the owner class has to give something up in exchange for the worker class to stop the violence. It’s how we got unions and worker protections when voting and political pressure failed. It’s never the right answer, but at some point it’s the only answer left.

We got unions and workers protections because of voting and political pressure. The modern framework of labor rights in the US was almost entirely created by FDR, who was swept into office by an overwhelming majority of voters as a result of the Great Depression. He passed a ton of legislation as part of the New Deal and utilized political pressure on the Supreme Court when they tried to strike down the legislation. It was strengthened and expanded by JFK and LBJ, two more presidents who were elected with strong mandates from the American people.

There is no scenario where gunning down healthcare CEOs applies any sort of political pressure to anyone. I know that it feels like it means something to the common person who doesn't understand much about the functioning of government or business. But I can promise you that it means very little to the people with the power to make decisions, aside from reminding them of the necessity of private security.