I think most people are misinterpreting what the dysfunction actually is. A lot of people here, and pretty much everyone over at the Clippers forum on RealGM, seem to think it's related to the on-the-court performance of the team. What Simmons's tweets imply is that Gillian Zucker is overstepping her bounds and trying to home in on Doc's turf.
Doc doesn't run the entire Clipper's organization, he's president of Basketball Operations, meaning he handles the player transactions, the coaches, the medical staff, the scouts, etc. He's not in charge of HR or marketing or selling season tickets and ad space, that's what Zucker oversees, the business side of the team (although its been implied that Doc was overseeing this stuff in the immediate aftermath of the Sterling scandal).
The turmoil within the organization is likely related to Zucker trying to build a power base. She's trying to exert influence over basketball matters, which I'm sure does not sit well with Doc.
All this seems to imply is that Ballmer doesn't quite know what he's doing yet as owner. This hasn't spilled over onto the court yet (he's not at Vivek levels), but it certainly could if he doesn't chill things out. And I certainly don't think he will,"chill" and "Steve Ballmer" have probably never collided in a sentence before.
But the important thing is, how do we leverage this to get Blake.