Cheney the Decider

The New York Times reports today on Cheney's influence on the Echelon-type program General Hayden designed for the NSA to implement at home after 9/11/2001. The article mentions David Addington, who aside from "Scooter" Libby is the closest thing there is to Cheney's alter ego.

Is it unoriginal for me to think that in their co-sovereign arrangement, Cheney's office is the policy wing and the White House is merely reduced to operations?