Most government workers do not have Ph.D.s. If you compare all governments workers (and include benefits and pension) they make disproportionately more money and are nearly impossible to ever fire. Oh they get more time off too.
EDIT: Even when comparing educational backgrounds. A government worker with a 4 year degree vs. a private sector employee with a 4 year degree will make more money and have more benefits, that's jacked up. The disaprity is even greater when you go to people w/o 4 year degrees. The vast vast majority of government workers have 4 year degrees or less education than that.
https://www.cbo.gov/publication/52637
Also note that 40% of federal employees are soldiers and most compensation is spent on civilians who work in DOD/DHS/VA, who I assume you feel should be fairly compensated.
"When I meet God, I am going to ask him two questions: Why relativity? And why turbulence? I really believe he will have an answer for the first." - Werner Heisenberg (maybe)