Noxian history is rich in usurping and overthrow.
The BlackRose, the true strength behind the throne, didn't even put up a fight as Boram Darkwill came in. They knew that they would do what they do best: Wait in the shadows, and strengthen their resolve. Not much is known about their agenda, outside of keeping strength in Noxus, their idea being different from the brick headed "Bang things till dead" tactic.
The High Command, currently, is full of corruption. Not Swain, per say, but those that believe wealth is power, the very people that Darius had beheaded, to make the point that a true Noxus doesn't lean upon the wealth to rule the poor.
Swain is a middle ground between both the High Command and the Black Rose, though I don't know if he prefers one way, or the other. He despises Darkwill for ruining his home. While Noxus did become a super power, under Darkwill, recent events lead to a waste of resources, horrible relations with neighboring city states, and a lack of unity in Noxus, itself (Riven).
Swain holds the conniving genius of the Black Rose, but the power of the High Command. He could very well be looking for a balance, so as to unite Noxus, truly.
"A United Noxus would rule the world, and deserve to"-Darius.
Leblanc and Swain, while aligned, do not trust each other. While there is a hint of romance, the reason they will not betray each other is because both need the other, and both know the other has a plan up their sleeve.
Riven supported the Ionian war (Which most forget), but she didn't support that which took place. She found it to be a crumbling in Noxian moral. Darkwill, in her eyes, turned his back on True strength, and relied upon killing not only Ionians, but his own people, for a victory.
General Du Couteau has a connection with the Black Rose, obviously, and while Leblanc wished for him dead, Swain found him useful, and even deemed him an honorable man. On a board full of pawns, you don't rid yourself of your only rook, if you will.
So, we must separate Each Champion with their OWN belief in Noxus.
Swain: Unity, through strength and secrets.
Leblanc: Heritage and History.
Darius: True Strength.
These, though differing, create a Trinity for the United Noxus. Unrivaled force, Secrecy and conniving, and unfathomable genius.
Katarina and Cass, however, focus most of their attentions on their father. Du Couteau trusted Swain enough to visit him, even amongst Leblanc, so we can exactly say that Swain has made him "Disappear" for a BAD reason. Yes, it put Swain ahead, in his promotion, but again, pawns and rooks.
Cassi: She shows much more love for her father than Katarina has, in the past. Cass was a daughter, where as, to Marcus Du Couteau, Katarina was also a warrior.
Talon, of course, was the bring in, and a sign of what Noxus can breed. Even in the slums, the poor grow in power. Talon reminds me, a lot, of Swain.
Both were nothing, before they began to steadily rise in influence and power.
So, we have two sections that Noxus is truly divided into.
Pre-Darkwill Noxus: Leblanc, Swain, (maybe Darius, and some could make the argument for Riven).
Post-Darkwill Noxus: Most of Zaun, honestly. Think about it. They love money. MAYBE Katarina and Talon.
There are too many smokes and mirrors for us to be able to truly decide how Noxus's politics are going.