I agree that you would need a coherent identity for each color that mixes well with the dual color decks. I think something like this would be cool:
White: Tokens (maybe anthems too)
Blue: Tempo, and somewhat combat-damage focused (think
Bident of Thassa)
Black: Aristocrats (obviously)
Red: Aggro, might be hard to pull of in EDH, but I'm thinking maybe sort of like a weenie Subira, Tulsidi Caravaneer deck?
Green: Ramp, mana dorks, etc.
Obviously, it won't be perfect, but the identity of the dual decks might end up like this:
White/Blue: Evasive creatures that use the card advantage of blue to tempo their opponents out of the game.
White/Black: Obviously, aristocrats strategy fueled by white's tokens.
White/Red: Also, sort of aggressive, but you lack the card advantage of blue and instead gain cards like
Raid Bombardment/
Torbran, Thane of Red Fell to do a lot of damage with white's tokens.
White/Green: Just
overwhelm the board.
Secure the Wastes/
White Sun's Zenith are already good token creators, including one or both of them to take advantage of green's ramp could be good. If you include Coffers +
Urborg in the black part, you might even be able to cast them for giant in Orzhov, too.
Blue/Black: I'm not quite sure here, honestly. I think it will be really difficult to come up with decks that work with every combination. Idk.
Blue/Red: Sort of like white/red, you just have less cards and more up front damage.
Blue/Green: Ramp of green + card advantage of blue is a match made in heaven.
Black/Red: Similar to White/Black, except you get more of the damage you are dealing through attacking, not
Blood Artist effects.
Black/Green: Yet another deck that feels a little disjointed. I can see it working more than Black/Blue, but it still feels a little wack.
Red/Green: Take red's aggro and pump it up a few notches with green's ramp. Big aggro.
Most of everything I just said was
stream of thought, and the overall impression I get is that your decks will likely devolve into some kind of aggro deck with various benefits. Even more, a lot of the time, your combo won't feel cohesive.
Hope my brainstorming helps.