Ok guys, they already solved this. It was tough, but using power and energy outputs from The Essential Cross-sections:Episode II, and estimations of a turbolaser shot's power from a scene in the Empire strikes back, they finally found the answer.
Star Wars wins, hands down.
In addition to being vastly outnumbered, the power levels of a Star Wars starfighter's energy generator and sheid generator are far greater than most ST vessels that are vastly more immense than said starfighter. The energy output only increases with the size of the ship. Furthermore, even in the 24-th century, a Federation starship such as the Enterprise E could survive, at best, about five turbolaser shots before their shields collapsed.
Another example of SW superiority is the overexaggerated use of the transporter in a fictional SW-ST battle. The transporter can only beam soldiers over when the shields are sown, and due to the apparent ineffectiveness of ST weapons on the more powerful shields of SW ships, I doubt it would be that useful.
Now I know Trekkies out there are still unbelieving, but what I think everyone should learn from this is that they are two different universes that were never meant to coexist, and certainly not meant to fight each other.
Oh yeah, and to the guy who said DS9 sucks, I believe that it would be the most-equipped series to ever fight a faction from Star Wars, if the fight ever occured.