Any name's fine, as long as it's Jadzia. Also popular: B'elanna, and Seven (of Nine). i.e., all the alien hottie characters.
Let me go on record here: any Star Trek name is going to be several circles deeper in taunting hell than a non-space-based soap opera name. Also, naming a child after the fictional object of your unrequited lust is gonna have complications all its own. And if Star Trek's taught us anything, it's that you can't go back and undo your mistake without disrupting the space-time continuum and making things worse. You have been warned.
Most popular name among Usenet Trekkers: Jadzia and Kira are up, Wesley's down. (Granted, most of these people are lingering in a cat-naming stage of life. The illogic of naming one child 7 of 9 is noted.)
Adoption Forum: "He claims that it is a cross between 'Jade' (Beautiful stone) and 'Zia' (Wonderful gift)."
Also: "My father-in-law looks through his Star Trek book [probably Michael Okuda's Star Trek Encyclopedia, called by some impassioned types, "the best reference book ever, of any kind." -dt] whenever there is a new baby on the way."
TrekBBS: "My ex-gf, who hates Star Trek (but that's not the reason we broke up) wanted to name our daughter Annika if we ever had one. When I told her that was Seven's human name, you should have seen her eyes roll."
Bonus, and proving my point: Kirk Cameron (b. Oct. 12, 1970) was named after Capt. Kirk, by his Star Trek-loving parents. The series ran from Sept. 8, 1966 until June 3, 1969, when it was canceled. You do the math.
Why get hung up on this stuff on a beautiful Saturday morning? I wanted to try and understand the parent who would let his kid wear a pair of booties made of tribbles.
Yo! My Booties [$58.00 at Psychobaby, a Parent Company, via BabyChic101]
The Trouble With Tribbles [Orig. Series, via BBC]
The Star Trek Dictionary, by Michael Okuda, Denise Okuda, and Debbie Mirek [buy the hardback for $40.80 at Amazon. Sure to be an heirloom.]