I am posting in an attempt to end this bickering once and for all. Star Wars would win hands down. Now for a closer look.
Lasers vs Phasers:
Some people say that lasers are weak compared to phasers, but here's the trick, phasers are lasers. Phasers a light projected in a certain frequency that cause atoms to lose their bonds and break apart causing the targeted object to dissipate into gas, but remember that word? "Light." By definition, a laser is a stream of concentrated light of a certain frequency. Having said this, Star Trek's phasers are just lasers. And if I look at this site: http://www.stardestroyer.net/Empire/Essays/FiveMinutes.html , it clearly shows that the Star Wars lasers have thousands-millions times the output than the Star Trek phasers.
Q vs The Force
Q does not chose sides, he's a giant evil manipulative blue head with somewhat godlike (actually more demi-godlike) powers and abilities. Not to mention the fact that he is mischievous, evil, manipulative, and cruel. He would not chose sides. If Q was in this conflict, he would try to toy with and destroy both sides forcing Star Trek and Star Wars to come to a temporary truce. Q cannot be controlled and he does not chose sides. The Force; however, can be wielded by any force adept (there are approximately 6,000+ force adepts in the Sith Training Academies). The Force can be controlled at will and used for unlimited purposes. For instance: A Star Destroyer with a Dark Force Adept flies towards a federation vessel and fires a volley of turbolaser fire. In retaliation, the federation vessel launches torpedoes at the Star Destroyer as more federation ships arrive. The Dark Force Adept on board the Star Destroyer uses the Force to redirect the torpedoes and send them flying towards the other Federation ships. The evil force dude then uses the force to tear the original federation ship into pieces and sends a piece flying towards each of the other federation ships... Another instance: Federation soldiers kill the squads of storm troopers accompanying Darth Sideous. Darth Sideous then uses the Force to break apart the atomic bonds of all the federation soldiers and re-arranges their atoms to create a squad of fully armed and loaded Dark Trooper Phase 3's. Sideous then uses the atoms in the ground and the air to create 4 elite squads of nova troopers... What I'm trying to get at is that there is only one Q and he cannot be controlled, he is evil, manipulative, and cruel minded. The Force can be controlled by any of the hundreds of thousands Force Adepts in the Star Wars Galaxy.
Spaceships
Let's face it, there's nothing in the Star Trek universe that comes close to 1500 Super Star Destroyers, 2 Eclipses, 1 sovereign, a Death Star, Galaxy guns, World Devastators, or anything else really.
Cloaking and Stealth
Both Star Trek and Star Wars have cloaking devices, but Star Wars cloaking is much more advanced. Star Wars has cloaked soldiers (nova troopers, noghri assassins, spies), cloaked vehicles, cloaked fighters (tie phantoms), and even cloaked super battle cruisers (Terror Class Super Star Destroyer). The Terror Class Super Star Destroyer is over 15,000 km long, has over 1000 turbolasers, 1000 missile launchers, 1000 ion batteries, and did I mention it can become invisible? Yea, a Super Star Destroyer 15,000 km long that's invisible. Beat that Star Trek. Seriously.
FTLT (Faster Than Light Travel)
It takes a federation ship around seven years to make it across one quadrant of one quadrant of the galaxy (with the help of alien races and technology, super weapons, and Q). It takes any Star Wars ship (fighters, frigates, transports, yachts, cruisers, etc...) around 4-12 hours.
Bad Stormtrooper aim:
Also, the only reason that the Stormtroopers in Star Wars had bad aim was because it was scripted. George Lucas wanted a story in which a small rebellion overcomes a massive military dictatorship of pure evil. The only way to do this is to give the bad guys really bad aim. Of course, George Lucas learned this was stupid so he fixed it in the recent video games. If you'll see the games, short films, episodes, comics, etc... The stormtroopers act like perfectly trained intelligent soldiers. You cannot say that the Stormtroopers have terrible aim. IT WAS SCRIPTED.
Oh, and this dude is freaking awesome http://movies.yahoo.com/movie/contributor/1800017101/bio
George Lucas is amazing (and he's actually starting to make good video games).
Nuff said