Ok, first of all, Star Trek came out before Star Wars. Two: Star Trek has vastly superior ships (shields, phasers, photon toroedeos) all much more powerful then the Star Wars destroyer. Not to mention the destroyer misses 29 out of 23 shots at close range when the ship is making no effort to maneuver from them. Star Trek ships also can reach higher speeds and go up to 9 times the speed of light. 

Fights between the Republic and the Empire are complete junk as the Republic is always outgunned like 30 to 1 but still win. Star Trek also features a variety of episodes instead of always focusing on just poorly shooting each other. Not to mention the "superior" AT walker which not tripped by thin wires and the Death Star which had a huge tunnel to the reactor. 

I don't see how anything of Star Wars is better (besides the aliens) then Star Trek. It's simple: if Star Trek and Star Wars fought a battle Star Trek would win.