Washington, sez the always-reliable Wikipedia here, was opposed to having his face on the dollar, calling it "too European". Suppose the U.S. had never put dead Presidents on their bills? Who would be? Still the mythical figures? Secretary of the Treasury? Head of the Bureau of Engraving & Printing? The richest man in the country?
(Hmm... Carrolls, Carnegies, Rockefellers, Gateses, Buffetts...
)