Randolph's song, to which Amos and Q refer, isn't much like that, and it's usually performed in a spirit of sheer cussedness and perversity. Its wide appeal undoubtedly comes from the repeated "I do not care a damn!" rather than from any reactionary politics.

The song takes exaggerated shots at symbols of U.S. Government authority, including the uniformed Freedman's Bureau and even the "Yankee Eagle," which doesn't seem worth a sane person's "hatred" for its purely imaginary "squall an' fuss."

As statements of (white) democracy, both the Declaration of Independence and the Constitution were held in high regard by Confederate intellectuals. (Except for incorporating slavery, secession, and Jesus, the CSA Constitution was much like our own.) The song contains not a word of overt racism (which Randolph could easily have included, had he a mind to.) The hyperbolic, deadpan wish that "it was three million instead o' what we got!" reveals - to the educated Victorian readers of Randolph's serious poetry - just how crude and uncivilized this character really is.

On the other hand, the derivative song printed by the Warners is a different kettle of fish. It has no subtleties. It does bear some resemblance to the imagined SS song. Its offensive intentions are blatant and inarguable.

More significantly, however, it appears to have been reported only once. Nor, as far as I know, has it ever been recorded or performed on a public stage. (If it has, its place in American pop culture nevertheless remains at zero.)

So, yeah, Randolph's song can be misused by those who want to. To me, that doesn't make the song itself offensive. The other one, however, is beyond the pale.