The money that government employees pay back to their government is, indeed, provided by the government which then in effect is taxing itself. It's a shame you don't realize thatUh huh and the money the government would collect from their employees from the Fairtax "replacement" tax would also be provided by the government. However the NEW, ADDITIONAL 30% Fairtax ON their wages, salaries and benefits the governments would be required to collect would NOT be provided by the government ...unless you're of the mind that all money is government's, which I have no doubt you believe to be true.
Oh, and BTW the tax on government noneducational employees is 23% of gross wages, not the notoriously-wrong "30%" and in fact is even less than 23% since it is reduced further by the 7.65% ER FICA that needn't be paid.