These discussions are totally pointless at the best of times, but it would at least be more focused if we were to isolate some specific aspect of guitar playing, or (better yet) identify the criteria or what makes someone "best". Clearly, if you're interpreting "best" as best solo-ist or most dominant and flashly musician, The Edge would not be on any list. If you're identifying "best" as most innovative and influential, maybe Edge would be on the list. If you're identifying it as "all around songwriter / musician / player", Edge should undoubtedly be in the top 10, because he's a far better writer / composer than almost anybody else mentioned on this thread (he's miles ahead of people like Hendrix, Clapton, et al.).
I think the most innovative guitarists were Chuck Berry and Jimi Hendrix.
My favorite soloist would be John Squire (a lot of people like Duane Allman in this category.)
As overall writers/composers/players, Edge is certainly up there, as is Lennon and McCartney, Joni Mitchell, etc., etc.
At the end of the day, it's rarer to find musicians who can write and compose great songs than it is to find great instumentalists.
(I also note that this thread is now 9 pages long and not a single woman mentioned, except when someone said Joan Jett sucks. The guitar is indeed the ultimate phallic instrument.)