I'm not sure what that means, but whether we're talking about a post office, schools, public safety, health care, roads, or any other thing government does, I'm not sure why we would be able to do any of that more cheaply than any other state, given our distance from the Lower 48, spread out population, and high costs for all kinds of things.
Yes, we spend more on any number of things 'per person' than anywhere else.  Anything else wouldn't make a lot of sense.