Because the stand-alone statement, "The Federal gov't is the largest employer in our nation," is meaningless without any additional information. By how much is it the largest employer? If you eliminate active military personnel from the number, is it still the largest? Second largest? Third largest? How large is too large?
Believe me, I despise the bloat of government at all levels. We've become a nation of teat-suckling socialist pigs, and we have the government payroll to show for it. But, my point was just that being the "largest" means nothing, just as saying my state ranks 39th in teacher salaries. Some people spout statistics such as that one, and expect everyone to respond with something like, "THAT'S TERRIBLE!" when the fact is, when there are 50 states, even if all teachers nationwide are making good money, one of the states is going to be 39th.
Similarly, even if it was reduced to the right size -- I know, it's a pipe dream -- the Fed gov't could very well still be the nation's largest employer, simply because of the DoD. But, I don't have that information at my disposal.
The federal, state and local governments employ about 22,000,000 (that's twenty two million) government employees. Now lets subtract from the military, what's that about one or two million?
Anyone that doesn't find these numbers *disturbing*, is either super rich, or is on the government payroll, supported by the bending backs of the tax payers.