Honestly the IRG is most reliable to their goals. They're not the late-era Janissaries or who think they should be running the empire or the Praetorians who believe they can pick and choose. They're fanatically loyal to Ahri. Not to the office. The person. They haven't met her, they don't know her, but they will gladly kill everyone in a room then themselves for her. Which makes me think they haven't crossed the Rubicon of thinking they are the only ones who know what's best for the Empress, and that Ahri cannot be trusted with anyone's input or exposure but themselves.
We just got through a major episode where a shooting war nearly started between people wanting the same exact thing because a lack of communication and trust snowballed into battleships jumping into places they wouldn't ordinarily go. Paranoia is what's killing this empire, not naked ambition. The IRG's motive is straightforward and simple to understand. That makes it easy to pitch something to them. But it has to come from someone they'd listen to. They'll have to be eased in to the family circle, but once they start to see the state Ahri's been in and how she's improving, I think it's a safe bet they'll work with us.