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

I've spent a lot of time last few days listening to Jefferson Starship (Red Octopus, Spitfire, Earth) and a little Jefferson Airplane (but absolutely NO Starship!!) for the obvious Marty Balin reason.

As usual when I go back and listen to music from my youth one thing that always strikes me is how good the MUSICIANSHIP was. So perfect in many songs that it is taken for granted as mundane. Fleetwood Mac, Eagles, Grand Funk, Aerosmith, Allmans all had serious chops in one fashion or another, be it guitar (Felder really was a great guitarist just like fellow Floridian Duane) or harmony or lyrics, they just seemed to care more about their craft and not so much the fame. 

I guess I  consider The Eagles the greatest American band in many categories. Aerosmith on some, Grand Funk in others. 

But if I was to call out the most influential All-American group it would have to be Buddy Holly and the Crickets. To me, they didn't just get the ball (rock n) rolling, they tossed it off a mountain and the snowball continues to grow. Just ask Roy Orbison, Waylon Jennings, The Flatlanders, Mac Davis, Natalie Maines, Delbert McClinton, Jesus....