I have never played it but from the reviews I have seen, your family would probably rather be eaten by tribbles than play that game!
http://wii.gamespy.com/wii/star-trek-conquest/
There are a few gems out there amid the crap that's available for the Wii... basically anything actually published by Nintendo is bound to be good* (Super Mario Galaxy, Zelda: Twilight Princess, Metroid Prime 3, etc.) - oh, don't forget Super Smash Bros. Brawl!
* With the possible exception of Mario Kart Wii, which I personally don't think is all that bad, but Fyron seems to hate with a passion...