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IN EQ, YOUR MAIN HAND DETERMINED YOUR WEAPON SPEED, REGARDLESS OF THE SPEED OF YOUR OFF-HAND WEAPON... THAT WAS JUST FOR EXTRA DAMAGE.
No, it didnt. In EQ the hands were completely independant, as they are in WoW. Unfortunately, you dont understand EQ's dual wield system, otherwise it would have been trivial to explain WoW's dual wield system in comparison. Luckily, other people have covered it.
The other point to consider about the advantage of dual wield is spell interruption. A dual wielder will make a spell take a VERY long time to cast :).
Just try it out, anyway. One of the best things about WoW is that the skill only costs money to train. It doesnt take a skill-slot you might need for something else. Train dual wield, give it a shot, if you hate it remove your second weapon. You lose a few silver, no big deal.