[Federal workers need to do the job that they are asked to do.]
Asked by who?  By wannabe dictators who are chosen for a job they have little experience or knowledge about?  By appointees that work against the very purpose and name of the department?
Regardless, I disagree with you.  They need to do the job they were hired to do.  Even if the administration changes, the job duties of career bureaucrats do not no matter how much of stink the President or the President's appointees raise.  That's why we have laws that requires unambiguous notice before any significant changes to the job.  If this was a typical contract position in a private firm there would be problems and likely a law suit for Zinke's actions.