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The Rebel Alliance would defeat the United Federation of Planets in space combat.
The Rebel Alliance defeated the Empire which had far superior technological advances than the Rebels.
Those defeats were bound to the narrative, and does not reflect tactical superiority. They were able to win due to traitors to the Empire and the hubris of various Sith lords, as well as shockingly poor security design. The Federation is unlikely to have similar challenges.
The Empire and the Rebels had the same technology. The only marked change in the technology of the time was the Death star (which, if we're honest didn't help anyone), and the X-Wing.
This is not an impressive feat.
The Empire is woefully incompetent and too stupid to survive for long.