That's almost exactly what didn't happen. I weathered the storm of onrushing klingons, damaged the cube enough for the Klingons to kill it, did for some klingon ships, and ended up with my weakest ships left. Then at the end used the horribly unfair "photon torpedoes" to destroy the last Borg ship.
Then you both averted your gaze from my magnificence, before carrying me around on your shoulders for a victory lap.