At the level of "extreme wealth" where you own a newspaper or bankroll a think tank, you're not working for wages, and you're not realizing a dollar more in taxable income than necessary. These people really aren't part of income inequality, or reached by income tax. I assume you're not talking about them.

The professional-managerial class do wield considerably more power than the working class. I don't think that's because they have money, though. I think it's because the state is a large organization. People with the skills to run a state will rarely want for white-collar employment. People who influence bureaucracies for a living will also be pretty good at getting what they want from the state.

Imagine. Who's going to win a national electoral campaign, who couldn't land a job in marketing?