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Farraday has a background in physics/time and space, something which Widmore knew would be useful/needed on the island.
Charlotte was some kind of archiologist (remember the scene with her finding the Dharma polar bear?) but perhaps more importantly had spent time on the island before.
Miles can communicate with the dead - again a useful tool on the island, and of course was born there.
As for Frank, I think Destroyer's take on it is pretty much accurate. Maybe tie in the idea of destiny - Frank should have ended up on the island in the first place after all.
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