Here's the thing about Klingons.
Klingons put their face forward as a warrior people, honorable and duty-bound and totally fearless. It's a myth they sell well enough that the rest of the galaxy doesn't dare question it where a Klingon might overhear.
But the truth is, the Klingon people are just as varied as the humans. Sure, the society is a military society, but there are plenty of civilians. There are Klingon farmers, Klingon grocers, Klingon bartenders, Klingon scientists. Klingon computer programmers. Klingon dance instructors. Klingon accountants. There are happy Klingons, depressed Klingons, noble Klingons, vile Klingons. Smart Klingons, stupid Klingons, weak Klingons, cowardly Klingons.
The Klingon empire is a techno-feudal imperial oligarchy, headed by the Emperor as head of state and the Chancellor as head of government. Policy in the empire is made by the heads of the great houses, who serve on the High Council. Klingon starships are owned by the great houses -- taken as a whole, they form the military of the Empire, but the ships themselves are fielded and maintained by the houses, equivalent to the nobility of feudal times.
The Klingons have a great cultural body of myth revolving around their equivalent of knights, or vikings -- the warrior elite. Since Klingons are sturdier than humans, it is only sensible that their various cultures have a hardier flavor than that of humans. Klingons hold themselves to the warrior ideals in the same way that knights held to chivalry, or samurai held to bushido -- i.e. not all of them did, and most that tried didn't manage it very well.
Because of this, the Empire is not well-suited to peace -- peace, after all, doesn't give the Klingons anyone to die in battle against. If the High Council doesn't keep the warriors pointed outward, they'll start fighting each other.
So the point of all of this? Worf. Worf was a Klingon raised by humans on Klingon stories. Worf absorbed tales of Kahless and other Klingon heroes the way we might absorb the stories of King Arthur. Worf's picture of Klingons is straight out of a storybook -- and Worf is our primary look into Klingon culture.
That's right -- most of what we know of Klingon culture, we learned from the Klingon equivalent of a weeaboo.