I'm reading Steve Keen in Forbes. One of the points seems to be that running a sustained government surplus means the government taking more from the public than it gives back in services. This is not even sensible Neoliberalism!
If the government sector is running a surplus then the private sector will have to operate with a deficit, either by running down sayings, or running up debt or some combination of both.
See also Savings, Debt and the Deficit.