First off: remember that Family Feud is not about correct answers. It is about knowing what a panel of idiots would say. SURVEY SAYS, remember? It favours people with useless pop culture knowledge and a familiarity with lower-middle-class tastes, not people of high intelligence.
Team Rebel
Luke Skywalker, Lando Calrissian, Han Solo, Princess Leia Organna, Mon Mothma
All people with lots of life experience. Ranges from a princess to a farmboy, with two criminals in between. With their range, they'd have a good chance.
Team Imperial
Grand Moff Tarkin, Grand Admiral Thrawn, Admiral Piett, Admiral Motti, Captian Needa
Not ONE of these guys is going to know what five words the average surveyed idiot associates most with ice cream. They lose.
Team Sith
Darth Vader, Darth Maul, Darth Tyranus(Lord Dooku), Emperor Palpatine, Exar Kun
Ditto.
Team Jedi
Yoda, Mace Windu, Qui-Gon Jinn, Ki-Adi-Mundi, Kyle Katarn
Yeah, right. Like any of these guys has the common touch. Kyle Katarn MIGHT, but then again, he is the personification of dedicated FPS gameplayers, ie- teenagers who don't get out much.
Team TOS
Kirk, Spock, McCoy, Sulu, Scotty
Watch the "row, row, row your boat scene" in ST5. These guys do NOT perform well when they're away from their starship.
Team TNG
Captian Picard, Gianan, Commander Riker, Data, Worf
Hah! The only "common touch" in any of this whole group is Captain Picard's inappropriate touching of Wesley Crusher when his Mom isn't looking.
Team Voyager
Captian Janeway, Seven-of-Nine, B'Elanna Torres, Ensign Kim, Tom Paris
Since none of these people have ever spoken a natural-sounding line of dialogue in their lives, it is blatantly obvious that they can't possibly do well in a game which relies upon a sense of common attitudes. Moreover, the snipers in the audience would quickly take out Janeway. The team, accustomed to its bitch-godmother leader, would be completely rudderless.
Team DS9 Benjamin Sisco, Miles O'Brian, Odo, Kira Nerys, Julian Bashir
Miles seems to have an "everyman" touch. He would not be a liability. Unfortunately, every other member of the team would be. They don't do well.
Ultimate verdict: Team Rebel takes it. However, Team Sith suddenly kills Richard Dawson and all of the other contestants in a stunning blood-spattered display of wanton cruelty (except for Yoda, who escapes into a nearby swamp), thus winning by default. Trembling judges beg for their lives while awarding them the prize, and the win.