(Made up of two YouTube posts)Star Wars blasters are described as basically lasers in the role playing guides. In the Trek Episodes, Picard mentions that "lasers won't even penetrate [their] navigation shields" which are on full time to deflect space debris. Given that info, the star wars universe can't inflict any damage to the Enterprise. You would have to count on a very lucky hit from the slow Death Star. Enterprise could "stick and move" with repeated faster than light travel.
Actual firepower combined with tactical point-to-point teleportation would devistate the entire Star Wars universe. The Enterprise's battlefield reconnaisance and sensors would anticipate any attack. Star Trek wins, hands down.
We're getting the bottom of the barrel these days. Same shit, different bastard.