The problem with the federal workers is not that they do not work or work hard. I know that there are a lot of dead weight in the government but that is besides the point. The problem is that the government workers do not generate wealth.
The private sector generates wealth for their workers and for the economy. If they didn't, they would go out of business and the more efficient and productive would survive.
In fact, the only way that there can be a public sector is if there are resources produced by the private sector that can be tapped to pay for it. Unless you become the former USSR and then nobody works