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.
You should be ashamed that you left out the true fighters of the Federation:
But let's be honest, the UFP would win. The UFP have that bomb that Soran used to explode a sun in Generations. The Empire destroyed a few planets. Sun destroying civilization beats planet destroying civilization.
I totally forgot about that scene. But the new empire sucked up a sun with a planet sized base. Soran blew up a sun with a missile barely bigger than a car. I still give the UFP the win.
There was a similar weapon in the extended universe, not that Disney cares.
I dunno', IMO it's kinda' an orthogonal question to both universes.
Star Wars is about a struggle for what's right despite what space-fantasy crazyness you'll have to face. Star Trek is about trying everything short of violence before resorting to violence.
The overwhelming power in Star Wars is more about opressive threat and allegory (like what's her face that has to get trapped in a cluster of black holes) than raw power, and in Trek, their extreme ability to do violence is to highlight how important the other options are. They almost always easily win the gun show, but they're almost never happy for doing it.
So in the end, they both have very different forms of power represented. Star Wars is probably more capable of destruction over time since it's always the whole galaxy at risk, but obviously Trek vaporizes plenty of things in one blast in any specific encounter. Hence why the Borg and Q, and shape shifters, and black puddles of sentient death, and such extreme entities have to show up when they want a classic threat to stay a threat.
In SW, it's all fantasy that's powerful. The setting itself is rugged, and only the powerful are powerful, so it has a much bigger hill to climb when pitting the few things with any kind of statistic against each other. Both universes have any number of means to defeat the other depending on what's available and what actually works, who gets the jump, etc. Some things in both universes are insanely destructive by statistic, so one unarmored turbolaser shot or one full blast, unshielded phaser blast, is taking out an entire ship and then some. In either universe. Supposed to anyways, as much as they downplay turbolaser hits in the movies and games necessarily. Like how Halo would be drastically different if it were designed with any of the stats in mind.
You don't shoot it at the star destroyer. You shoot it at the star next to the star destroyer. When you take away nuclear fusion you get a large explosion more commonly known as a supernova. Everything within a few dozen light years is now obliterated. Gotta think like the Emperor if you want to beat him.
A star massive enough to supernova, during the final stage, is held up by fusion. Fusion in the core continues to make heavier and heavier elements in stages. The final stage is measured in days. When that stage completes, the supernova initiation is measured in fractions of a second. The resulting shockwave travels faster than 10% of light speed.
Depends what type of supernova you're talking about. Type Ia supernova are caused by runaway fusion but most supernova are caused by core collapse which is when the fusion in the core dies out and gravity wins causing the star to explode. Depending on the size of the star you might even get a black hole at the end of this explosion.