Naruto: attempts to cure his drunken state with clones... Only to make more drunken Narutos. Basically the same, but dumber
Sasuke: Reminisces about the past angry st others for not understanding.
Sakura: angry drunk. Gets mad at Sasuke for being well Sasuke.
Karin: Shy... The type of person to reveal her secrets.
Suigetsu: party animal
Juugo: Serial Killer...the reason this will never happen because he'll kill them all....if Lee doesn't beat him.
Lee: Juugo's destructive competition.
Tenten: Strong willed and excited female
Neji: Part I personality with a pinch of renegade
Shikamaru: not lazy...suddenly dishing out philosophy and theoretical calculations...but all about pointless subjects
Choji: the same but laughs at everything
Ino: Like the Ino who tried to sway Neji....much to Neji's ignoring thereafter.
Hinata: Either a laugher, crier, or assertive. Probably combinations so ?mood swings?
Kiba: like Suigetsu
Shino: no effect...his bigs take it for him

... But seriously I'd say he'd end up as someone who complains.
Sai: more expressive of his emotions...so basically becoming more normal.