We have been "brainwashed" in two areas, first that lowering tax rates increases tax payments and second that the raising of tax rates increases federal receipts.
American citizens have paid 8.8% to 9.2% of GDP in federal taxes (not including fica/medi) since WWII. During that time the highest tax rates have been between 35% and 90%.
So the real answer is that what happens when the government lowers income tax rates the GDP increases and we still pay the same 8.8% to 9.2 % of that GDP.