I don't think there's any contention between the two; they play different roles. You can't have your SecDef say something like this. It should come from some éminence grise who is not now part of the Administration. That way it doesn't sound like it's actually part of Administration policy... yet. Baker is perfect.
You really think this is orchestrated kabuki theater? What makes you think so? It'd be comforting to think the Admin's got it under control, but I don't share your faith.