I've developed a reputation for god rolling, but I've never sat down and artificially selected for the best ones, and I don't have cheater's dice. I also try to go out of my way to shake them up real good before most rolls.
*shrug* I'd be fine throwing everyone's dice into one big bag, shaking it up, and redistributing them. Unless you have custom dice or regional dice, I see no problem with it. If you're concerned about germs you can wash them.