Your frustration is understandable, however certain things cannot be done (unless the NDA is changed). Unlike the RCMP (who once recently had a civilian commissioner) the CAF's top job is, by law, to be filled by an officer.
Federal laws of canada
laws-lois.justice.gc.ca
Now there are probably ways to play fast and loose with interpretation of the NDA, but politicization of the CAF (more than currently practiced) is probably not a good thing.
Ahh . . . to go back to the old, old days when an officer who was an embarrassment to the regiment received a quiet word in the mess that concluded with a veiled suggestion involving a pistol in the drawer and taking a few minutes alone. (sarcasm)