ya know, I don't agree that every drunk person wants to come off sober. some people don't care when they are drunk. some get drunk as an excuse to do or say 'drunk' things.
I don't think one shuld be play the externals. play the scene--the externals are just another part of your 'costume'. throw on a slight slur and a slight wobble and be done with the drunk part.
if you go in there worrying about playing drunk, you won't be placing your focus on the other character and getting what your character wants out of them (which is why the character is drunk in the first place).