That problem was solved decades ago by government contracting. See above, the healthcare.gov folks formed contracting companies so they could go back to work for the govt at double the salary.
That's not a solution. At all. The contracting companies end up pulling up the ladder so that nobody else can compete in the particular vertical they've managed to commandeer. And then they lose all incentive to work hard. They wind up hiring less and less competent workers and pocketing the difference.
Contractors are a big reason why the US government has the reputation it does today.
