lol... I like her too, but she wouldn't be a FCX.. this ship is for the new Star Trek XI movie coming out in 2008 that shows a new Kirk.. the ship is actuall the NCC-1701
Check out the information about the new movie at
http://www.startrek.com/startrek/view/series/MOV/011/index.htmlor you can watch trailers and fan made clips at YouTube. Check out the fly by and pahser firing of it.
http://youtube.com/watch?v=3tlXCaKkEo0&feature=related This is Fan Created though, so the phasers may not be accurate.. but check other links on site.
The ship I guess is suppose (I THINK) to be between TOS and Motion Picture.. she is the NCC-1701 but Pre- Enterprise Class Refit in Motion Picture..
an FCX is post NCC-1701-B and Pre NCC- 170-1-C..
But I agree in OP it would look cool as an FCX.. but the role would be more suited to FCA(x) according to timeline.
The render above is a bit different is design in the nacells and in the secondary hull.. but it is very close to the Movie XI version of the ship.
However Kudos on the design.. she looks fantastic.. keep up the good work !!!!!!!!!!!!