Well, with much thanks to reader John Ford, we have the audio of that very sketch!
My recollection is that this is from a late night series that ABC ran opposite the Tonight Show, called something like "ABC's Wheel of Entertainment." There was a different show each night -- Jack Paar was on a few times a week, and there was this particular show that was sort of like the political satire, That Was the Week That Was, plus one or two others. (I recall some comedian referring it to "ABC's Wheel of Indecision.) I believe that this Bob & Ray sketch was on that political satire show.
But wherever it was from, here it is now.