Mira Sorvino admitted to owning a phaser and a pair of pointy ears.
Ben Vereen (he didn't want to give back the uniform he wore as LaForge's father)
Mae Jemison (first female black astronaut)
Mick Fleetwood (he begged for a latex monster part on TNG)
Whoopi Goldberg (famously inspired by Uhura)
And speaking of Uhura, if Martin Luther King wasn't a Trekkie, how else would he have known Nichelle Nichols was on to ask her to stay?