which I totally respect. Just isn't mine.

I don't think Wilco has all the classics they have been given.
I think they are good, solid, and consistent.

However for me and my peoples... Bad Brains would easily win.

Again. For me, cause this is only a matter of opinion:

Black Bands:
Sly and Robbie
Bad Brains
Fishbone

White Bands:
Stereolab
Radiohead

Sorry but that's my pick.
*shrugs*