The fact that people perceive the billionaires to be the problem --- and not the society, and in particular the government which allowed that to happen in the first place --- is, in my view, not a good starting point to effect change.
The state is of, for, and by the bourgeoisie. The fact that a bourgeois state continued to allow the gross swelling of the bourgeoisie does not itself make the state the source of the problem. The state is a symptom of the disease.
The state isn't simply an instrument of evil by evil people. It's a tool. Since people act in their own interests, those who can abuse the system to gain outsized influence over it control the tools, and wield them in their own favor.