A new Star Trek game would be great...but the problem is, the current Market won't make a good Star Trek game. At most they will make an action game in the Star Trek universe.
To me the best Star Trek game I played was the old Star Trek point and click adventure game. I think any new Star Trek needs to be more about the characters and adventure and less about action...although action should be in the game, the emphasis should be on puzzle mechanics, mystery, adventure, story, and characters.
The Wii U is the best console for the game, and the touch pad would be a great way of representing many aspects of the ship and Star Trek universe. I would love to see a game that gives you a Crew, and this Crew is thrown (like Voyager) several galaxies away from the Federation...and you have to get back in one piece. You have to take care of your core crew members, because if they die, they die for good. Otherwise, you promote officers into different positions, and they may have to be trained to do actions better. Away Team management is very important...and it might be wise to carry a few "red shirts" for fodder.
But, yeah this game could be awesome...if done right.