Is it any surprise I'd come down on the Star Wars side of this one?
I'll take the Star Destroyer against any Federation ship with the possible exception of a Galaxy class ship and then it would come down to the crew. I don't think the Trek shields could handle the turbolasers on the Star Destroyers.
Two Jedi and a padawan can handle the Borg, Klingons and Jem'hadar together let alone as single fighting forces. There's just no comparing a battleth to a lightsaber. The Romulans might hold out a while if they stick with their cloaked ships (Klingons wouldn't do that as they're too honorable) but the Jedi would find them with the FORCE and it would be lights out.
If the Trek U doesn't break out the Q, that's their asses.