Look at the American gov today. Assistants to the pres and each secretary aren't elected, they're appointed. This may not seem very democratic but it works because the assistans are chosen because they can together as a team and have the same views.
What you say is true TimBentley, we don't have political parties, but we have people with different views and different schools of thought. What would happen if we were to elect a very aggressive FA and a submissive deputy FA and the FA had to go away for a little while? Wouldn't our foreign policy take a 180 degree turn due to the submissive posture of the deputy? We did
elect the FA and all the ministers based on their viewpoints, ideas, and suggested actions.
This system may not be broken, but it will eventually hit a snag. I agree we shouldn't fix it if it isn't broken, but we should change it before it reaches breaking point, which in this case, will eventually happen.