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I think as an experiment, we should ask both when they believe was "the good old times."
The conservative would likely say the Roaring 20's, the age of great prosperity under Warren Harding and Calvin Coolidge, granting of women's suffrage, "family-friendly" entertainment like Charlie Chaplin films, and ever-increasing American pre-eminence in the world's economy. Convieniently forgotten would be such seminal events during the same time, such as Prohibition, the founding of the KKK, and the laying of the groundwork for the Great Depression.
The liberal in turn would no doubt respond with the 1960s, the days of Kennedy's Camelot, civil rights movement, the Great Society, and "peace and free love." Conviently forgotten would be the race riots, Bay of Pigs, the Black Panthers, and undermining of the fundamental idea of the virtue of a democratic government by anti-war and other anti-U.S. protestors.
Take your pick which vision of the "golden days" is more appealing (or appalling), depending on your own point of view.