Your scenario would be awesome! Each person would be able to do what he/she does best and their talents and expertise could be utilized fully. I would make Herman Cain Sec. of the Treasury, though, and completely do away with DHS. It should be part of the Dept. of Defense, anyway. So many of the Departments could be combined and reduced. Why is there a Dept. of Labor and a Dept. of Commerce? Redundant! So many are left over from the 19th century and are totally unnecessary.
The big question is, who would be the Attorney General? It would have to be someone committed to the Constitution, to the Rule of Law, and who would be vigilant about prosecuting all the treasonous activity that has occurred.