I agree that the State Sector is biased; everyone who works in it is in a Union, it is Female dominated, is generally not commercially minded and it is generally left wing and socially liberal.
That's not ideal but it's better than the opposite. The State has to act as a counterbalance to private power and commercialism. The Elected Government is male dominated so the permanent government being female dominated is no bad thing. I'll take a bit too left wing and liberal instead of a bit too conservative and right wing.