Could the Federation defeat Star Wars' Empire in an all-out war?
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 Trek has vastly better sensors, shielding, weapons and science.
Sensors: they can detect the atmosphere and cargo inside a ship as well as how many individuals are in it. SW can't detect when an entire ship has docked to the hull.
Science: and then they can beam a person out of it. They can screw with any technology while transporting too.
Shielding: ISDs and Death Star can't keep fighter and the millennium falcon from running around inside their shield envelope. Federation shields give them the option to block crafting from passing.
Weapons: They made bombs that break space itself, and then apparently almost everyone agreed to ban them because its a stupidly dangerous idea.
Science 3: Genesis Device. Oh great you can destroy a planet. The Federation can create an entire solar system with a bomb.
Science 4: Federation developed a matter phasing cloak. Romulans made personal cloaks.
The only advantage the Empire has is numbers of ISDs. Even then, if the empire makes the wrong move they'll piss off the Dominion or the Borg, and the empire literally can't touch the borg.
I'm assuming they know. I think what they were saying is there is a lot of cool (and powerful) stuff in the EU, which Disney chose to ignore and come up with their own bullshit, which they listed. Taking a stab at Disney more than this debate.
Now I want a cross over movie consisting just of Q making Palpatine miserable. Ending with Palpatine sighing in relief when Q finally gets bored just for Trelane to arrive.
SW also has a long distance speed advantage too. They travel around the entire galaxy while the federation takes months to get from one side of the federation to the other.
As far as I understand it though, their hyperspace is the same as ST's subspace network used by the Borg. It's very fast, but it only works on existing lanes. So while theoretically a SW ship is faster, it's only if they're using a known route. Which only exist in their galaxy.
Unlike ST though, SW ships can't map out hyperspace paths with sensors but have to do so manually via manned ship.
I feel we'd have to account for their travel technology too. ST warp drives are considerably more versatile than specific hyperspace engines, especially if they end up fighting in ST space.