Trek vs Wars power level fights are some of the oldest squabbles on the internet. Basic gist is that Star Wars ships are much, much faster than Trek ships, and much more numerous, while Trek ships potentially have more "tricks," so to speak (better tactical FTL, transporters, etc). As for weapons strength, both franchises are all over the place in terms of their depiction of that, so who knows. As a note, these debates generally focus on the Federation and comparable powers (Klingons, Romulans, Dominion). Star Trek as a whole has numerous entities way beyond the comprehension of both the Federation and the Galactic Republic/Empire. If Q shows up and puts Palpatine on trial then the Dark Lord of the Sith is not going to be able to do much but cry.
I don't want to get into the power level debate because it's been done so much. I will say that if I were to ever write a Trek-Wars crossover fic I'd probably just resolve the speed disparity by saying that hyperspace and subspace are fairly similar (because they are), just differing due to the differing physics of the two universes.
Politically speaking I think the Federation and Republic - if the two encounter each other during the reign of the latter - would be on fairly good terms. The Republic is more corrupt and less egalitarian, but their government is at least based on similar ideals to that of the Federation - diversity, legislative democracy, and the rule of law. The Republic is also not particularly aggressive, lacking any sort of significant military for centuries prior to the Clone Wars. I expect that the two sides would be able to build up a peaceful dialogue and explorers from both universes would begin to learn about how things work "over there."
The Federation would take a less favorable approach to the Empire, but not intervene in its politics. If the two universe are connected by some kind of portal this might play out a bit like the Bajoran wormhole after the first encounter with the Dominion - the Federation would largely keep to their side and if things look bad prepare for the worst. I'm actually not that certain that Palpatine would be super interested in plowing into the Star Trek Milky Way, however. While he is an authoritarian dictator, the Empire is not as expansionist as one might expect - under Palpatine it focuses more on consolidating rule than conquering new territories. Palpatine's own goal is complete mastery of the force, something that he may discover that the Milky Way seems to mostly just lack. If it looks like the Federation or any other Star Trek powers are leaving the Star Wars galaxy alone, he may do the same. Of course, if this portal opens up in, say, Borg space, things would be very different.
I don't want to get into the power level debate because it's been done so much. I will say that if I were to ever write a Trek-Wars crossover fic I'd probably just resolve the speed disparity by saying that hyperspace and subspace are fairly similar (because they are), just differing due to the differing physics of the two universes.
Politically speaking I think the Federation and Republic - if the two encounter each other during the reign of the latter - would be on fairly good terms. The Republic is more corrupt and less egalitarian, but their government is at least based on similar ideals to that of the Federation - diversity, legislative democracy, and the rule of law. The Republic is also not particularly aggressive, lacking any sort of significant military for centuries prior to the Clone Wars. I expect that the two sides would be able to build up a peaceful dialogue and explorers from both universes would begin to learn about how things work "over there."
The Federation would take a less favorable approach to the Empire, but not intervene in its politics. If the two universe are connected by some kind of portal this might play out a bit like the Bajoran wormhole after the first encounter with the Dominion - the Federation would largely keep to their side and if things look bad prepare for the worst. I'm actually not that certain that Palpatine would be super interested in plowing into the Star Trek Milky Way, however. While he is an authoritarian dictator, the Empire is not as expansionist as one might expect - under Palpatine it focuses more on consolidating rule than conquering new territories. Palpatine's own goal is complete mastery of the force, something that he may discover that the Milky Way seems to mostly just lack. If it looks like the Federation or any other Star Trek powers are leaving the Star Wars galaxy alone, he may do the same. Of course, if this portal opens up in, say, Borg space, things would be very different.