Is fame the only thing you want? ;) Probably most of the guitar players who have graduated from those schools are the top guitarists (or technically most advanced, and ofcourse in theory too) who live on the face of the earth nowadays. I'm not saying that they are the best, I'm just saying that they must be very good.

I think that most of the people who try to get in these schools have the ambition to be "the Best" or the just want to be good, and they want to advance in their studies.
Take John Petrucci for an example, I'm almost certain that he wanted to become a better player by attending to Berklee, and you see the results.
Of course, I'm not speaking for Petrucci, so I don't know what he thought as he sent his tape to Berklee, but I suppose that thoughts like this could have been in his head.