That's the problem. That's exactly what is already happening. The rich already don't pay tax, and neither do the corporations they control. The only thing that is being changed is that the oversight of the masses is now being removed, because banks can no longer be trusted to look after the interests of their clients over the interests of the state.
I suspect the only viable taxes in future will be consumption taxes, property taxes, and estate taxes. If ya wanna eat, ya pay tax. If ya wanna buy something, ya pay tax. If ya wanna live somewhere, ya pay tax. If ya die, your assets are divided, the state collects its portion, and then everyone goes on their merry way again. It's no surprise that these are resisted, because they are the only taxes that are effective against wealthy people.