Scotsbard,

I think Allan Sherman was already dead by the time this song was written (and he sang parodies, so this song wasn't his style.) I saw Johnny Cash singing it on TV. My recollection of the chorus is:

The one on the right was on the left
And the one in the middle was on the right
And the one on the left was in the middle
And the one in the rear
Was a Methodist (burned his driver's license, got drafted)

The band brawl takes place in the second verse, and the third verse warns not to mess with "the folk songs of this land", and tells what happened to the band after they broke up (one drives a truck, one is an all-night disk jockey, and we've already covered what happened to the guy in the rear.)