There is no such thing in the Constitution. “The executive Power shall be vested in a President of the United States of America.“ Contrast France’s Constitution, where there is a President (Title II) separate from the Government (Title III). To the extent there is a civil service trying to be independent of the President, “deep stars” is a colorful but not altogether inaccurate term.
"For the purpose of this title—
(1) the “civil service” consists of all appointive positions in the executive, judicial, and legislative branches of the Government of the United States, except positions in the uniformed services;"
That statute uses the term only as a descriptor for employment-related statutory provisions. It obviously cannot create an executive-branch "civil service" independent and autonomous from the President, when the Constitution expressly vests all executive power in the office of the President.
