I like the thought, but this math would be terrible. You would be better off specifying a max and a min and calculating where your income falls in the curve for a factor on the base percentage.
Basically the same as we have now without the brackets and making sure that everyone pays.
We are going to have to do something with our national debt, I would like to see every form of government assistance turned into a no interest account that any overpayment of taxes or tax credits would flow into first before any cash payments would be paid out in excess of what you actually paid in the year.
A balanced budget amendment might work if we simply say you have to reduce every department {EVERY} by the same percentage to get the budget balanced.