Ah, another tax the rich Marxist.
How is lowering the rate mean paying less tax? When you tax something (income) at a higher rate you get less (income) to tax.
When you lower the rate you get more participation. The "rich" don't need income because they have wealth. Increase the rate of tax on their income too high and they'll just stop realizing gains and quit taking income. A higher percent of zero yields zero.
If you weren't so arrogant and actually did some research you'll find that every time the tax rate goes up the "rich" pay less of the overall taxes because, as I pointed out, they don't make income. But when you lower the rate (ala Coolidge, JFK, Reagan, GWB in our recent history but even more examples in times way past) in exchange for less deductibles you get more taxable income.
Just look at the recent 1990's and check out the IRS information on tax revenues. Clinton's income tax increases didn't create more revenue. It was the lowering of the capital gains tax rate by the GOP that put brought in all the money when we were running a one year (still a lie) "surplus".
Suggest you get a grip on reality.
Your flat tax/federal sales tax is politically impossible.
Given that - I don't really care how it's THEORETICALLY a great idea.
The flat tax will NEVER be accepted. People like the idea that People who make $1 million dollar pay more tax than someone who makes $50k.