From my read, Ilya's goal is to not work with Sam anymore, and relatedly, to focus OpenAI on more pure AGI research without needing to answer to commercial pressures. There is every indication that he will succeed in that. It's also entirely possible that that may mean less investment from Microsoft etc, less commercial success, and a narrower reach and impact. But that's the point.
Sam's always been about having a big impact and huge commercial success, so he's probably going to form a new company that poaches some top OpenAI researchers, and aggressively go after things like commercial partnerships and AI stores. But that's also the point.
Both board members are smart enough that they will probably get what they want, they just want different things.