Einstein, I raised this in point in another thread about Sto Vo Kor - Klingon society is vast. We have also seen a few examples of this.
Kolos was an advocate, who's parents were a teacher and a biologist (ENT)
Kahlest was a nurse (TNG)
Kurak was a scientist (TNG)
The Viking historical precedent is very relevant to Klingon Society. To the people of Southern England who faced Viking raids, they were only a group of savage warriors, yet back across the sea there were numerous farmers, lawmakers, and administrators running the country.