That reminds me of a Sliders episode…

32. Skirted Cops Earth

Following the assassination of President Kennedy by the Rosenbergs, J. Edgar Hoover became President of this world’s United States. The U.S. Constitution, including the Bill of Rights, was abridged in 1962 or 1963 when martial law was declared. Now, possession of a copy of the full, unabridged version of the Constitution is an offense punishable by death.
Rock and Roll music has been largely suppressed on this Earth. Acceptable music includes: “Liberace Unplugged,” “Jim Morrison Sing Irving Berlin,” and Kurt Cobain’s new “The Christmas Album.”

The J. Edgar Hoover of this world was a cross dresser and, due to this influence, male police officers wear skirts when they are on duty.