They have. The writing staff seems to include:
Bryan Fuller (Star Trek: Voyager, Wonderfalls, Pushing Daisies, Hannibal)
Gretchen Berg (Roswell, Wonderfalls, Pushing Daisies, Revenge)
Aaron Harberts (Roswell, Wonderfalls, Pushing Daisies, Revenge)
Nicholas Meyer (The Seven Per-Cent Solution, Time After Time, Star Trek II: The Wrath of Khan, Star Trek VI: The Undiscovered Country)
Joe Menosky (Star Trek: The Next Generation, Star Trek: Voyager, Salem)
Jesse Alexander (Alias, Heroes, Hannibal)
Aron Coleite (Heroes, The River, Hostages)
Kemp Powers (an LA-based playwright)
Kirsten Beyer (a Star Trek novelist)
I'd call that a pretty well balanced mix of Trek and non-Trek credentials. The staff also includes people who have written for film, television, the stage and novels. I like the approach a lot... Hopefully it comes together!
By my count 6 out of 9 of the writers/producers never worked on TV or movie Trek.