It seems like the biggest Star Trek fan in the new Star Trek reboot is Karl Urban, who plays Dr. McCoy. There are stories from the first movie where he argued with the costume department about whether or not Starfleet tucked their pants into their boots; that's really nitpicky nerdy fandom. Everybody else involved seems to have seen Star Trek: The Wrath of Khan and that's about it. Urban's a deep cuts man, though. So when he speaks about what Star Trek III needs, I listen. Probably nobody else does, though.
Talking to IGN Urban says "What I really believe we should do now is strive for originality... In Star Trek Into Darkness we took one of the most revered and loved adversaries of the Enterprise and put him in there, and did a story that had all of these wonderful nods to films from the past, and episodes from the past. I really think that what we should do from here, in my personal opinion, is strive to be original. Strive to be something different and new."
That's been what this was supposed to be all along, wasn't it? The Star Trek universe is so big and deep and rich that it would be easy to craft new adventures while retaining famiiar touchstones, as opposed to remaking Wrath of Khan and, for reasons clear only to the filmmakers, Nemesis. Urban speaks for the fans - we already have the classic stories and characters, we want all new ones. The Mystery Box shouldn't be full of the same old stuff!
And Urban goes on to speak for the fans again when he says, "Let's not forget that Star Trek as envisioned was about space exploration. It would be really wonderful to harness the spirit of that and apply it to the next film, so that we do something different than a revenge-based picture."
Fucking A, Karl Urban. If only the people at Bad Robot were listening to the real Trek fans in their midst.