I'm looking for a word or words to describe a person who dislikes incompetence (when someone can't do a job successfully), or those they deem ineffective in their work. It would also especially irk them if the person won't admit that they are incompetent/ineffective.
He does not suffer fools gladly.
not suffer fools gladly PHRASE
Be impatient or intolerant toward people one regards as foolish or unintelligent.
‘he was a perfectionist who didn't suffer fools gladly’
Origin With biblical allusion to 2 Cor. 11:19.
no-nonsense (adj.) (also take no nonsense)
That does not tolerate foolish or extravagant conduct; brisk, practical, businesslike. OED
His employees are..slavish devotees of their master's no-nonsense work ethic
Tolerating no nonsense : SERIOUS, BUSINESSLIKE
a no-nonsense manager
nonsense affected or impudent conduct
took no nonsense from subordinates m-w
Not tolerating irrelevancies; direct, efficient, and practical
the no-nonsense tones of a stern parent. AHD
Beyond this, although No Child Left Behind conveys the impression that it contains a no-nonsense approach to incompetence in education leadership, in reality, because of the tenure system, principals and staff who are fired will probably just transfer to other school districts. W. H. Jeynes; American Educational History .
...the newspaperman turned management expert was the tough-as-nails, no-nonsense businessman. R. Parker; "State of the Industry"
He called them the "Cheetah Generation"—Africa's new hope.
"They do no relate to the old colonialist paradigm...They brook no nonsense about corruption, inefficiency, incompetence, or buffoonery." A. J. Thakkar; The Lion Awakes: Adventures in Africa's Economic Miracle
"...take no nonsense from any presumptuous hireling..." ref.
It's been used in quite a few book titles. Among the work-related are:
a system, organization, or society in which people are chosen and moved into positions of success, power, and influence on the basis of their demonstrated abilities and merit