I'm not sure if warcraft has such a function to program in but perhaps something like hitting the SPACEBAR will skip to the next line of dialogue. As others have mentioned, anyone who was raised in a english speaking country can read 3 times as fast as the text changes.
I know of a similar system in HeroRPG where that's possible, but I really doubt if that could be re-created. I do agree with you though, the dialogues need to be faster. I skipped all the dialogues and just read them in WE since it takes too much time.
the stuff the characters say are really childish and seem like a lazy effort at trying to be funny.
I think Aero just likes this kind of humour.