This. The Volkihar should not be political at all.
Why not? they still got functional sapient brains last time I checked, people simply do not become savage mindless beasts because they are vampires, they retain who they are, they just have a new diet and at worse the power corrupts them to become evil sadists but never does it make them mindless, its only vampires that refuse to feed that end becoming insane single minded monsters.
Volkihar should have its own political system because like tribes, there are in-fightings and ambitions.
W&V is right, Volkihar do have a court system and politics but they do not influence society like the order does.
The court in skyrim were just out for themselves and only cared about their species, they did not care about the people of skyrim or society much though they do want certain cities spied on.
That is one of things that should be expanded upon, more vampire hierarchy and politics, we only got a fraction of it with dawnguard as one such ambitiousness comes from vingalmo and his rival within the court. The savageness is displayed in full within the castle, where people are slowly eaten alive. good stuff but more is needed.
I have seen decent mods that show such vampire ranks and you get stronger and higher by feeding, Now this what should be in the game, this what could of been done and still can be.