Trekkie by proxy! Parents are huge Trekkies, and I've proudly picked up some stuff. Would easily, spectacularly lose any sort of trivia competition or anything hands down, but I'd definitely call myself a fan.
I personally haven't watched any of the old Star Trek episodes - I've watched the latest film version though. I know that these modernised versions of long-standing series tend to attract a lot of hate, but I've got no clue with this one - did you guys enjoy the latest film version?
I enjoyed it a great deal. Die hard fans often see change as a threat or an insult. Its common not just among Trek fans but others as well. Look at all the rage the Star Wars Prequels generated. Then there was the initial shocks from the Sci Fi remake of Battlestar Galactia, "OMG Starbuck is a girl!"
JJ and crew took a few big risks and in my opinion it payed off.
The purpose was to create a fresh start, a new beginning to tell new stories as well as old stories in new ways. TOS was made in the Sixties and some of the things in the show are very out of date. For example, in the final episode it was established that Women could not serve as starship Captains. Imagine that flying these days.
I was in a music class about fifteen years ago when the teacher played the Star Wars theme. One guy claimed it was the theme to Star Trek, but the teacher corrected him. The pupil responded, "It used to be called Star Wars, but it is called Star Trek these days". I wanted to slap him so bad.