How naive. There is no "Department of Goverment Efficiency," and Congress isn't about to create one. Congress created GAO (Government Accountability Office) in the Budget and Accounting Act of 1921 to assist in the discharge of its core constitutional powers--the power to investigate and oversee the activities of the executive branch, the power to control the use of federal funds, and the power to make laws. It's core role is to provide Congress and federal agencies with objective information to help the government work more efficiently and save money -- just what Trump is pretending his fairytale DOGE will do.
Elon and Vivek are head of nothing -- and they have absolutely zero power to do anything.
Republicans in the Senate just told Elon where to go, by making John Thune Senate Majority Leader, with Musk's choice of Rick Scott dead last in a secret vote. Now I can hardly wait until Elon or Vivek come to Congress, in their roles as just a couple more lobbyists, really, and recommending any cuts in Texas, or Florida, or any other red state. It won't even get a vote on the floor!