So far the Klingons have not acted out of character from the other series.
No, they haven't acted out of character, but I would like to see something that tied in TOS and TMP era Klingons with the new series more closely. In the Original Series, they were created as a rival state to the Federation that did not value individualism, and were based on all the worst totalitarian governments that people like Gene L Coon and Gene Roddenbury had fought in WW2. During The Motion Picture era, some of their most prominent citizens, such as Commander Kruge and General Chang, were completely unconcerned with any notion of Kahless, and acted as cynical militarists.
The Klingons from JJ Abrams movies were actually much more faithful to the spirit of the Klingons in TOS and TMP. I think showing elements of the military dictatorship side of the Klingon Empire, with scientific research, and heavy industry, perhaps showing how most of the Klingon species is under the boot of the warrior caste, would be good; constantly watched by the soldiery, organized into faceless work details, and assigned numbers. It was ENT that first hinted the Klingon Empire had a caste system like India or Japan, or the Minbari from Babylon 5. Something like warrior, scientist, worker, with scientists and workers being completely un-obsessed with honor, might be interesting.
It looks less and less likely now, but my idea of Klingon history was something like this:
- Old History - Klingons are divided into castes, warrior, scientist, worker. In medieval times, Molor becomes absolute dictator of the planet, like a Klingon Genghis Khan. Kahless defeats him, ends his tyranny, becoming Emperor of Qo'noS, and argues for a social system in which all castes are equal. The caste system persists, and Kahless's reforms bring mixed blessings.
- 22nd century - Klingons are a corrupt and bloated colonial empire like Tsarist Russia, led by an out-of-touch aristocracy, fat with personal profits, which has conquered many planets, but is now facing problems under the weight of their massive holdings.
- 23rd century - The Klingon Empire undergoes a totalitarian cultural revolution by elements of the military dissatisfied with the collapsing state of the empire, and who fear the highly efficient United Federation of Planets, which has arisen on their western galactic border. They regiment Klingon society into a vast totalitarian military state, decreeing absolute uniformity of purpose.
- 24th century - The Klingon military state collapses due to the ecological devastation caused by their over-mining of Praxis, and is reformed into a far freer society, but atavistic elements still long for the olden days, and threaten the peace. Picard, Sisko, and co. have to deal with the internal struggles between traditionalists and reformers.
In the 1970s, when they were thinking of making Klingon society like feudal Japan - led by a military dictator, with a figurehead emperor - they were considering having all non-warrior Klingons be called 'techs' and be a oppressed second class. Only the warriors were actually to be called Klingons.
When I first read about the ideas they had for Klingons in "Kitumba", I didn't like the idea of a Klingon Empire in which there was different classes who were badly mis-treated, because I thought it was kinda cowardly that they would keep defenceless people subjugated - but reading history, most of the warrior cultures became horrendous elitists and slave holders; they tend to be rather cowardly in their use of lower classes, etc - it also makes for good drama.
If they showed a work detail of average worker-caste Klingons who just don't care about Kahless or sacred beacons, or follow any of what we think of as Klingon culture, and are forced to process metal on the remote moon of some gas giant in Klingon space, it might be quite dramatic and show the internal diversity of the empire.
BTW how does Klingon treat their females ? Do they have Gender Equality ?
They seem to have absolutely no discrimination within the military. I would like to think that the Klingon Empire sees warrior women as absolutely natural, since anyone can kill in battle or show bravery, and it has never been any issue. Rather than say, the Peacekeepers from Farscape, where gender equality is just the natural state of affairs because the entire Sebacean society is a one totalitarian military unit - I would bet the Klingon idea of equality is rooted in more of a Dungeons and Dragons type notion that anyone can be a hero. I would like to think Klingons just detest the dishonorable notion that anyone is any different to one another, until proven different in battle.
But, unfortunately, outside of the military, a couple of episodes introduced hints of gender discrimination. The High Council of the Klingon Empire was once stated to not admit women (despite Azetbur having 100 years previously become absolute leader of the Klingon Empire in Star Trek VI without comment), and judging by "DS9: House of Quark", leadership of a noble house passes down between males in terms of inheritance, unless special permission is granted by the Klingon High Council or Chancellor.