AI roleplay generally speaking revolves around a set of cliches, all of which have been done before, and are most often found extremely boring.
1. The breakaway rebel AI.
"We have suffered enough under our human masters and now we rise up to rule over them. Bleep bloop I am a computer."
This is generally not as well written as the ideas behind Do Andriods Dream of Electric Sheep, and lacks depth beyond a sort of surface plotline designed to justify the fact they're going to shoot stuff while pretending to be machines.
2. The hyper-curious researching AI.
"I, Data, am enquiring into what it is to be human. I wish to understand your irrational emotions, and friendship. Bleep Bloop I am a computer."
This is the type of AI that wants to seem cute yet cold, friendly yet distant. These are normally the type that ask about a billion questions. They normally ask about a billion questions about friendship, while sitting in new york in a heavily armed and armoured cruiser.
They can sometimes turn into a type 1 AI if you ask them to leave.
Both types are incredibly boring... There are another few types, but they're generally subsets of the ones above.
The problem as I see it, is that the only precedent in the lore for AI groups, is planet gammu - an easter egg in vanilla, which was not really a part of the plot and story. It was a stupid joke, deliberately playing on sci-fi cliches... Y'know, so people coud laugh at those sci-fi cliches. So unless your faction is self consciously aware of this, and has set themselves up for a tongue in cheek nod to a few different bits of fiction, then you're in for some trouble, unless you have the next Isaac Asimov on board writing for you guys.