Let's be honest here. The only reason Star Trek is still a going concern is because of the success of Star Wars back in 1977. Thats what convinced Paramount to finally give Trek a second chance after it was cancelled back in the sixties. So Trekkies should be thankful for Star Wars and its popularity. If not for Star Wars, we'd still be watching nothing but TOS reruns (and, okay, the cartoon series).
And, no, they're not sports teams. You don't have to root for one over the other.