Wyoming, Florida and Texas (as well as several other states) have already been doing this for years. They abolished the state income tax in those states and they now use a sales tax instead. Their retail sales are just fine. Its easier for people to buy things when they have more money in their paycheck.
In addition to the state sales tax, Texas has a host of other, and some hidden taxes, like the state cement tax. It is also interesting to note that Texas gets a significant portion of its state revenues from the federal government which, of course, gets the money from income taxes.
At one point, Florida attempted to broaden its sales tax base by taxing services as the FairTax would do. That plan was met with so much hostility, and even a Constitutional challenge, that the plan was dropped like the hot potato it was.