If America is able to rebuild, it will probably be as a Commonwealth.
Anything pop culture related is happening in Europe, Japan, Australia, Mexico, and to a smaller degree MBA-era Russia.
Just for arguments' sake, here's my version of how a Fear & Loathing/Rumsfeldia presidency TL might have gone under different circumstances:
Richard M. Nixon 1969-1974; Impeached
Philip Habib, Deputy Secretary of State, Acting President, 1974-77
George Wallace 1977-1981
George H.W. Bush 1981-1989
Donald Rumsfeld 1989-1991; Removed from office
Pat Robertson, "Acting President," 1991-1992
Douglas Coe, 1992-?
Interregnum Period, 1992-2001
Gen. Colin Powell, de facto acting President during the post-Coe era
American reunification era, formation of American Commonwealth, 2001-2006
Commonwealth Presidents:
John McCain, Unity Party, 2001-2005
Jerry Brown, Progressive Coalition, 2005-2013
Jon Huntsman, Independent Coalition, 2013-2017
Gary Johnson, Libertarian Coalition, 2017-current