Malodery: The mechanisms involved with sales tax are entirely different from those involved with income tax. The effect on tax revenue and the economy are not equivelant.
But, the outcome is in the same direction. If you pay less for an item because of a sales tax decrease, you have more disposable income. More disposable income means more things are purchased. If more things are purchased, the producers' and sellers' incomes increase. As their income increases, they pay more income taxes. As they pay more taxes the tax revenue goes up. Hallelujah.
But those on the dark side throw a wrench in the gears. They also spend more of this increased revenue resulting in a deficit. Booohoo

Interesting concept I guess.

