We would deal with them with steel and shot. They have wealthy and they have power. They do not need a new theological doctrine to declare themselves special and above others. On the other hand the mouflons of the kingdom need a philosophy that ignites their souls and gives them the resolve to see the World to Come. Vashti needs the anchor to her people because she has lost herself to become a symbol rather than a person. And we know that this does not mean anyone can declare themselves a prophet because their prophethood is revealed by the devotion of their followers and the victory of their cause.
It is one thing to declare yourself above others because you have wealth and power.
It is quite another to declare yourself a Holy Prophet Ordained by God, and therefore that your followers are the Chosen of God. Because your followers believe you are a Prophet and we believe that is the right path.
The Sword-Altar and the Originators had Wealth and Power. Yet it did not win them the war. The Pale Horse and the White-Gold were not won over to the side of Freedom because of the wealth and power of the Patriarch. They were won over because of the Divinity and Holy Legitimacy of the Patriarch as the Vessel and Creature of the Holy Ghost of Amalgast, the Prophet of God.
Burs with guns being a warlord can be dealt with by the faithful. Prophet Burs as a Holy Prophet of God on the same level as Amalgast and Vashti, which we know he is a Prophet because of Elevation. This means that we would have to acknowledge that so long as he has Steedeater and his Banners following him, his deeds are ordained by God, and going against him means going against the desires of the Manifold God.
Elevation does not demand that a majority designate the new Prophet, only that the Elevated Prophet has followers that will Elevate them. Meaning so long as any Elevated Prophet has any support, they are an Ordained Messenger of God, whose actions and words are transmitted to us from God.
There is a world of difference. Legitimacy and Soft power backed by God backing their Guns would make them unassailable lest we go against God. And at that point, we should have just gone with Disavowal, to begin with. Because that's what Elevation would have to end up with, only with more meaningless deaths.