Star Trek is more than just its continuity. It's also the basic premise and format and many of its distinguishing story elements: starships, transporter beams, Klingons, Vulcans, mind-melds, etc. I mean, I suppose you could keep all that stuff and call it something else, but then people would just accuse you of ripping off
Star Trek.
Take Batman, for instance. We've had umpteen different versions and continuities, but as long as you've got a Batman, a Bat-Cave, a Batmobile, Gotham City, Catwoman, and so on . . . well, you've got a Batman show. Regardless of whether it's set in the same "universe" as one of the last six versions.