'Star Trek' Star Alice Eve: 'Star Wars' or 'Trek'? J.J. Abrams Does Have a Favorite!!

J.J. Abrams might have a "Star Wars: The Force Awakens" mutiny on his hands if John Boyega, Harrison Ford and Daisy Ridley see this clip.

We got Alice Eve ... who played Carol in "Star Trek into Darkness" ... which, of course, was also directed by J.J. -- and she boldly answered the question every sci-fi fan must have for Abrams.

As the savior of both franchises, does J.J. have a favorite??? The answer is YES! According to Alice, anyway. Let the debate begin ...