Would a Federation warship like the Defiant out gun a Star Wars Star Destroyer? Who has a bigger armada? Who has the tactical advantage? Don’t forget that The Federation includes the Klingons, who love warfare and have fast, agile, heavily armed ships, with cloaking devices, and the Vulcans with superior logic and tactical planning.
Star Fleet canonically has star destroying technology (Generations), and it’s the size of a missle.
The other thing Star Fleet has going for it is that things always go good for the federation. The Star Wars fleet would probably have to overcome nothing less than divine intervention to beat out Star Trek.