I imagine the people who actually think about how they are working just for basic needs are mostly a different group of people than those yelling about freedom.
I don’t know how many conservatives wake up in the morning with the feeling that everything they do is just to make some rich guy richer until they eventually die. Because why would they be a conservative at that point?
In the US, people consider any public sector job to be working in/for the government. Judges, Legislators, the president, TSA security, Park Rangers, Cops, Clerks at the driver’s license office, etc. would all be considered government roles. Sometimes you need to clarify if you mean federal government or state government.
The president, his staff, and his political appointees are called the administration.