Which band IS really America's Greatest (rock & roll band)?


When I consider my priorities for this category, I cannot come up with any other than CCR.

Their output as a band was short compared to others, yes..

When I say America's greatest rock & roll band, this = the output or even the basis on which a band formed, had in their DNA, America's roots! It doesn't even matter that we now know CCR formed in California, their DNA as a band transformed their birthplace but it more importantly brought forth the (soul) of get down and dirty) Rock & Roll in it's raw form!

HELL YEAH!
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I want my funk uncut! The fully loaded Mothership consisting of Funkadelic’s George Clinton, Bernie Worrell, Eddie Hazel, Mike Hampton, Billy Nelson, Bootsy Collins, Cordell Mosson, Garry Shider, Fuzzy Haskins combined with The JB’s’ Maceo Parker and Fred Wesley - as talented an American band as you’ll find anywhere in the galaxy.
From my memory Traffic, Rush, U2, Fleetwood Mac (roots), Jethro Tull, Bachman Turner aren't American bands.
Several fit the category. No particular order, cause it always changes:

The Doors
REM
Allman Brothers
CCR
Bruce Springsteen & E Street Band
Greatful Dead

Their other real good ones, but these would be in the top.
I've seen some very good answers that I won't repeat, however...

James Brown and either the Fabulous Flames or JB's were arguably the nastiest tightest band ever.

Bruce Springsteen and E St Band have the staying power...

Van Halen (not that Van-Hagar crap) have the front man, guitar virtuoso, solid rhythm section and the hits to back it all up...