That's most likely what would happen. Also would Mo Udall find a spot in the Brown administration?
Cabinet of Edmund Gerald Brown, Jr., (January 20, 1977 to January 20, 1981)
President: Jerry Brown (D-CA)
VP: Terry Sanford (D-NC)
US Secretary of State: Walter Mondale (D-MN)
US Secretary of the Treasury: Paul Volkner (sorry if I messed up his last name)
US Secretary of Defense: Benjamin O. Davis, Jr., (D/I-DC)
US Attorney General: John Hill (D-TX)
US Secretary of the Interior: Morris Udall (D-AZ)
US Secretary of Agriculture: Jimmy Carter (D-GA)
US Secretary of Commerce: David Rockefeller (R-NY St)
US Secretary of Labor: ???
US Secretary of Transportation: ???
US Secretary of Health, Education & Welfare: Patricia Roberts Harris (D-DC)
US Secretary of Housing & Urban Development: Tom Bradley (D-CA) or Moon Landrieu (D-LA)
US Secretary of Energy: ???
US Ambassador to the United Nations: ???
Director of the Central Intelligence Agency: Frank Church (D-ID)
Director of the Federal Bureau of Investigation: ???