They were never 'Wise Men' in the original Japanese. The word was always 'Sages'. This was clarified in the GBA port. So the bit about human old guys, I'm assuming, is based solely on the picture in the intro?
Plotholes up the wazoo. "Hey um...you know how we said Ganon seized the whole Triforce, and these seven human old guys sealed him up with the help of the knights of Hyrule? Well it turns out he only got one Triforce piece, there was only one guy helping them, and they were pretty much all chicks from different races. But everyone somehow forgot about that, Ganon seized the other two Triforces with...plot magic and the family trees of the Sages somehow turned into pure Hylian blood. Shut up, OOT is the Seal War we said so!"
It doesn't say how much of the Triforce he has. The Essence of the Triforce tells Link that if an evil person touches the Triforce they don't get their wish properly. OoT clarifies this by explaining that this occurs because the Triforce splits when one with an imbalanced heart touches it.
Right, rising from all three of them. As opposed to the entire thing being in a room right behind Ganon's fucking throne room which he's been sitting in for centuries. Unless he totally had no goddamned idea the Triforce was behind him, it makes no sense. Also, the game says Ganon has the Triforce, you lose.
So all the stuff that happened while Link was asleep in the Sacred Realm, we never see Ganondorf doing and you're assuming he did manually? That stuff?
In OOT? The whole taking down a castle thing, and corrupting some temples, and recruiting monsters, and killing those that oppose him, etc. Basically acting like a real warlord who happened to have divine powers. As opposed to LTTP Ganon who made a wish and got the entire Sacred Realm magically transformed into his ideal world at the tip of a hat.
If extracanonical materials, and the implications of AOL are anything to go by, than the Triforce of Power and the Triforce of Wisdom were just floating on some pedestals in the castle somewhere. It's pretty obvious that in the LOZ/AOL era the Triforce pieces aren't entering people's bodies.