Well, what their demented lounge act called to my mind was something even rich and stranger, and with nothing except the highest of Space Age Bachelor Music style to link it to the Kims: I'm thinking of one of the maddest films I've ever seen - certainly the very strangest to include a globally renowned author as a half-naked waxwork.
The film is 1968's Black Lizard, a Japanese confection that combines Bond-style capers, Japanese mysticism, and, most memorably, the ladylike stylings of Mr. Akihiro Maruyama as the title character, a femme fatale nightclub hostess and international underworld criminal mastermind (two naturally complementary careers, no?).
It was written by Yukio Mishima, who is also the aforementioned waxwork, one of the Lizard's love-victims. The whole thing is really indescribable.
It had a brief U.S. re-release in the early 90s and basically disappeared thereafter, never having seen a (legal) DVD release.
Which seems a shame; it is very nearly a perfect film, at least in the select genre of the transvestite Asian jewel-thief/psychokiller thriller musical.