Well written and by the way we are all at some point self-proclaimed experts ;)
You are right, to propose is key on on this executive buy-in is key. The analytic team need to be see as the reference, not as the info provider.
The other big issue I see, is the fact we absolutely need to make a clear difference between reporting and analysis, which seems to be more than unclear for the majority of people. Create actionable report and do a deep dive analysis are two action that should not be merge, otherwise it creates nothing good except work overload.