As a leftie and a Zelda fan, I must say something on this.
Ignoring the issue of what handedness Link is (as a cultural symbol I respect him) I must say that I will have a lot of trouble playing it. All right handed people should play LoZ:TP or Red Steel 2 left-handed, and tell me how that goes.
I use southpaw or default on my N64, Xbox and 360, but I cannot do it on the Wii, due to the natural left-handed need to hit things with my dominant hand (made Shield bashes and sword spins get mixed up at times), but most lefties have evolved some form of Ambihandedness (Dexerity means right and I refuse to use it), as scissors, can openers, bicycles and even elevators are made for the RIGHT MAN.
BTW: I have played and raged quit so many times over Red Steel 2 and Twilight Princess due to the difficulty of either switching hands or screwed up hand movements.