This is one of those alternate leaders lists that I like, go wild!
Union of Soviet Socialist Republics:
Chairman of the Council of People's Commissars:
Vladimir Ilyich Lenin (Bolshevik Party) , October 26, 1917 - January 21, 1924
United States of America:
President of the United States:
Thomas Woodrow Wilson (Democratic Party) , March 4, 1913 - March 4, 1921