Ok, Rush is, has been, and always will be my favorite band. I grew up listening to Rush, I've been to 2 of their concerts(both were from Snakes and Arrows, just because I wasn't alive 34 years ago). I love Alex Lifeson. He is easily my second favorite guitarist(my favorite is Brian May actually...). But I'm just saying, Buckethead is a better "technically" at guitar. He can play things Alex can't(from what we've seen of Alex, he IS in a band, and he has to write and play to the songs, not like Buckethead who does everything alone). I like pretty much every Rush album more then I like any Buckethead album, but I still admit Buckethead is one of the best guitarists(better then Hendrix ever was, same with Jimmy Page, both of these guys were amazing at their time, but people expand and learn new ways of doing things) of all time.
Also, 2112(album and song...)>any Buckethead song/album