Canon should complement a game, not detract from it. Use canon to your advantage, but never be afraid to depart from it when the story you're telling calls for such. I liken canon to history: we are always learning new things about it, as fresh discoveries are made. Unless your players are portraying the crew of Enterprise (doesn't matter which one), it's not like they are bound by canon. Different inertial reference frame. Heisenberg, Schrödinger and all that quantum indeterminacy / phase state stuff. Confound them with treknobabble, in other words.
“In our every deliberation, we must consider the impact of our decisions on the next seven generations.”
-- Great Law of the Iroquois Confederacy