I have a simiar experience to the OP's. My daughter (age 14) has had zero interest in Star Trek of any kind in the past, but really enjoyed the new movie. In fact, she "made" me take her back to see it two more times!
I think it's the "hip Uhura" in the miniskirt that grabbed her at first, but she said she just loved the whole thing (except for the first 12 minutes or so which made her cry). Not only did she love the movie, but she bought it for me at Christmas and had the whole family sit and watch it with her. Another few times. :-)
I'm not sure she'll ever be interested in watching my old TOS DVD's, but she's hooked on Star Trek now!
Marv / Finarvyn
Trekkie before they became Trekkers
TOS Fan since 1973
"You know, going back in time, changing history... that's cheating."
- James T. Kirk (ST:XI)