Neil Peart organized and produced two Buddy Rich tribute albums - he knows very well who the real "best" is, even if some of his fans don't. ;)
As for being elected to the "Rock and Roll Hall of Fame", it seems to be a Jann Wenner vanity award and not a serious honor. And Rush isn't "Rock and Roll", anyway (that's Chuck Berry, et al) - they, Yes, Dream Theater, and other prog rock bands have completely transcended that older blues-based genre and created something entirely new.
I saw Neil Peart using the traditional grip on his sticks during a Buddy Guy tribute. I thought he was playing better than with Rush. I figured he was a Buddy Rich fan. I'm not a drummer, but if I was, Buddy Rich would be my standard.
To this day, no drummer comes close.
Tonight Show Show appearance