Easiest to understand site and the one that leads me to believe that even putting aside the Republic or Empire encompasses thousands of world vs. the 180 worlds of the Federation the Star Wars guys would win with equal numbers. There weapons are just too powerful.
I do think the fundamental way the debate is framed generally Empire vs. Federation is not the best way to frame the debate due to the total inequality of numbers. The Empire is bigger than the Federation by at least a factor of ten. Now if you assume all the Star Trek empires unite including the Klingons, Cardassians, Romulans and even the Dominion you still have a huge numerical disparity since as far as I can tell this would be hundreds of worlds but not thousands of world. But if the Borg unite with all the other empires then you have a different picture. One Borg cube can take out a fleet and who the heck knows how many cubes there are. The Borg did unite with Voyager against a common threat so this possibility has already been established.
And…..
There are Elder Races in the Star Trek universe that have powers far beyond that of the Empire/Republic or Federation. The Q might be able to shrink a whole fleet of Star Ships to the size of fleas.
I am more a Star Trek fan and disappointed but “facts are facts” and even given equal numbers Star Trek is in trouble.