I think in the case of something like healthcare, which can be literally life and death, these are not entirely separate. Many cheered LM's actions because they or someone they knew had been hurt by the healthcare insurance industry in the US, which again goes back to those feelings of pain, desperation and lack of control that they feel.
I do agree that the trend for the more average person to be okay with or even advocate for violence as a solution is disturbing. But a massive part of why it's disturbing is that it's a symptom. There are always fringe groups who resort to it as their primary approach, but when your regular person starts looking at violence as the way to solve things, there's some kind of broader sickness happening - a large scale societal malaise.
My great grandmother used to compare war, revolution, mass civil unrest and other such breakouts of violence as a fever for the body that is humanity; She'd lived through far too many of these fevers. They're rarely idiopathic, and while they might help fight off the current sickness, they also often killed. And even if you survive a fever, it's never a particularly pleasant experience.