http://www.uchronia.net/bib.cgi/label.html?id=fergmonroe
Ferguson, Neil. "The Monroe Doctrine".
Divergence: 1960 CE
What if: Marilyn Monroe was elected president.
Summary: When the Soviets invade Czechoslovakia, Marilyn tries a little personal diplomacy on Leonid Brezhnev.
Published: In Interzone #6 (Winter 1983/1984) and Interzone: The First Anthology: New Science Fiction and Fantasy Writing (eds. John Clute, Colin Greenland and David Pringle), J.M. Dent/Everyman 1985 (0460022946) and St. Martin's 1986 (031242535X).
SPOILER WARNING
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She marries Brezhnev!
What happens next?
(The POD would really have to be much earlier, but oh, well.)
According to
this,
Gorbachev was at a university during this period. But he might be involved in an earlier perestroika and glastnost as the US helps the USSR with a more peaceful conversion to capitalism. Maybe the US annexes the USSR (a little bit at a time, over the next 30 years) and the combined state becomes a world empire by 2000. The 2000 presidential election is between a popular Russian politician and a popular American independent documentary producer.
Or, the president gets impeached and removed from office.
Or, she resigns and she and Brezhnev move to Hollywood and become huge movie and TV stars. She becomes a major producer, like a combination of Oprah (but not as much social consciousness) Donald Trump, and Martha Stewart. Brezhnev becomes a TV commentator. The cast of Saturday Night Live have so much fun with him and his wife that he finally makes an appearance on the show.