TriStar staff donned dark sunglasses and rolled out the black carpet Thursday night to celebrate the premiere of its cool alien-hunting pic, “Men in Black.”Inside the Cinerama Dome in Hollywood, the audience took time out from schmoozing to applaud director Barry Sonnenfeld. Star Will Smith, who merited a round of applause himself, called out, “Good job, Barry! You the man, Barry!,” as the lights went down and the much-delayed screening got under way. Execs were out in force — from Sony as well as from rival studios. The former contingent included John Calley (with wife Meg Tilly and sister-in-law Jennifer Tilly), Jeff Sagansky, Gareth Wigan, Lucy Fisher, Chris Lee and Bob Levin. In the latter camp were Disney’s Joe Roth and DreamWorks’ Jeffrey Katzenberg. After the screening, cast and crew — including Linda Fiorentino, Tony Shalhoub and Rick Baker — as well as producers Laurie MacDonald and Walter F. Parkes and scribe Ed Solomon headed to the party (actually the parking lot transformed into a futuristic setting reminiscent of the pic). With complimentary sunglasses in hand (or on face), guests feasted on tasty offerings from the usual suspect, Along Came Mary. Spotted in the crowd were Jada Pinkett, Ice Cube, Charles Barkley, Barry Josephson, Mike Medavoy, Ed Limato, Richard Lovett, Jennifer Lopez, Gina Gershon, Nathan Lane, Bill Maher, Ellen Barkin, Dean Cain, Debi Mazar and Steven Bochco.