There is no "fair tax". Taxes are one of the worst ways to do anything. After stealing someone's money, or threatening their lives for that money, whatever you do with it is already less than desirable.
If you own a home, than you are set for a place to sleep. But, if you put property tax on that place, then if you do not make enough money, your house is gone. You have to start moving fast enough just to stay still.
If you are talking about "wealth redistribution" because the income disparity is not fair, then we are talking about envy, and that leads to bad results.