The Legend Of Zelda: Twilight Princess was released on Gamecube and Wii on the same time. It's not a port. Although, the difference was that in Gamecube, Link is originally left-handed while in the Wii version, Link became right-handed because that's how most people played the game. With the Wii Remote on their right hand. I think it was in an article somewhere, around the release of the game, stating that Nintendo did the small change to pander to the players.
Both versions are awesome... It's just that my preference is still a controller over motion control.
Edit: Also... Another difference is, of course, control mechanics. Fishing with motion controls is amazing, I have to admit.