Is THAT what the states do now with income/withholding taxes??
If so perhaps what you envision is reasonable; otherwise (and I've heard of no such instances of that happening) what you project is nonsense. Why would they suddenly start??
The states don't collect income/withholding taxes on individuals in the respective states. If I work for IBM in New York, New York doesn't collect the money from IBM and then pass it on to the IRS. But under the NRST, New York would collect the NRST from all the retailers in NY prior to passing it on to the newly-renamed "IRS".
Read up on the history of the Articles of Confederation.