And thats where the plan starts to unravel.... 
Well, there are something the government can do that the public sector can't....like the judiciary and the armed forces.
It isn't that they have jobs that need to be done, the problem is when they are allowed to do more than that granted by the Constitution.
It is interesting to note that the Constitution and Bill of Rights proclaim that all rights belong to The People except as limited in the Constitution, but that the government can only do what is specifically granted it in the Constitution, everything else is a NoNo.
If that concept were followed, much of our troubles would be resolved.
Can you hang politicians posthumously?