The system is there to be used to play a GAME. A Role-playing Game, but a game none the less. Characters are a componet of the game. If you dont have "characters" you dont have much of a game, although technically you can still play. How? Make a bunch of stats which by your terms would normally be "characters" and play wargame style or DDM style. You still have a game hence without characters.
Get rid of the game/system part, and you basically just have free-form acting. Which is cool, if that's what you want to do.
See that last part? The part where I didnt deride people for enjoying something that I may not particularly care for? That last part is important around these parts, it fosters dialouge and mutual respect as opposed to antagonism(sp?) and potential flame wars.
People with different play styles can co-exist as long as you dont tell each the other person that thier perspective style sucks.