Moments before Tom Cruise is busted and revealed before the whole orgy crowd, we see his keyboardist friend being led out forcefully by two thugs.

At the end of the film, Sydney Pollack says that when he saw Tom Cruise, it clicked that he had been talking to the pianist earlier at Pollack's party. But the piano player was ejected from the orgy before Cruise was unmasked.

For that matter, how did any of the naked women at the party recognize a masked Tom Cruise to warn him "you're in great danger?"