What does Elvis need with a starship? (get it?)
Anyway, I would think that Data and Worf would get some recognition simply because they're one of a kind -- Data in particular is a technological breakthrough that hasn't yet been duplicated to that level by someone other than Soong. Picard would also perhaps become famous simply because of his feats from his position.
Dr. Crusher and LaForge would probably be more famous among academia, but not the general public. They seemed to attend quite a few conferences, and no one can deny their own breakthroughs.
Can't speak for the others, though I'd love it if O'Brien somehow became an unlikely internet celebrity for whatever reason.