A thought.
A true department of government efficiency would seek to bypass any and all government checks and balances, because they are, by very definition, not very efficient.
Fascism is far more efficient than Democracy. This doesn't mean it is better. I am an engineer, and I recognize that not everything is an engineering pipeline. Being an "efficient" government probably means you are at best cutting corners, at worst, violating human rights.
Efficiency is not always, or even often, the best measure of, "good."