If Americans tried to reorganise their boundaries along the lines of the article's map, they would probably stop "coming together" and start "moving apart" in the course of a few generations. In the short term, though, it would probably ease a lot of the pressure currently felt.
Germany is another federal state made stronger by having internal boundaries that don't reflect historical identities (Bavaria being the weakness), and which has been able to foster a unified national identity in the past seventy years despite excluding Austria and losing much territory.
Canada's borders are more ... logical and accurate (visible in the map), and their federation is much weaker for it. The long border with the culturally similar US probably contributes to the weakness of Canada as a federal state.