[RR]

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As much as I hate to I would rule that he has to show (assuming I was in LA, the room I currently work in does not have IWTSTH, so here I would rule he does not have to show). My wife is calling, I might make a longer reply later.

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How do you rule if Player A mucks, then Player B mucks, then some third party invokes IWTSTH?

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If they both muck the cards are in the muck and there is nothing to see. If he still has them and somebody asks to see them they get to see them (in a room/game where IWTSTH is permitted).

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OK...so what if Player A mucks, then a third party asks to see Player B's cards, and B responds by mucking?

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Then they are mucked (too bad the dealer didn't protect the muck). A plyer's action is to fold, not to muck; mucking refers to buring them in the muck so they can't be retrieved.