It would be nice, for purely cosmetic reasons, to have the ability to choose whether your captain and bridge officers are right-handed or left-handed (or even ambidextrous). I don't believe I've ever seen this addressed in any game, ever.
We've certainly seen left-handed characters in Star Trek:
Data - Brent Spiner is a leftie, and I believe you'll find that Data behaves as a leftie most of the time.
Worf - Not sure about this one. Michael Dorn is left-handed, but I'm not sure if Worf appears the same.
Ezri Dax - I've seen her holding a TR-116 rifle left-handed, not sure how consistent she is.
Just a thought, to add a little variety to character design.
For the record, I'm right-handed. The idea just popped into my head while I was updating some Romulan Republic officer uniforms, putting PADDs on their left wrists.