> department of governmental efficiency
I have no idea if this is 'extreme' or not but U.S. Government Accountability Office already exists.
> GAO, often called the "congressional watchdog,” is an independent, non-partisan agency that works for Congress. GAO examines how taxpayer dollars are spent and provides Congress and federal agencies with objective, non-partisan, fact-based information to help the government save money and work more efficiently.
See for example:
https://www.gao.gov/products/gao-24-107594
https://www.gao.gov/products/gao-24-107554
https://www.gao.gov/products/gao-21-544t
Or if you prefer video:
https://www.gao.gov/video/comptroller-general-testifies-u.s....