I don't know one blast from the deathstar destroys whole planets.so it would definatly destroy the whole borg ship they wouldnt have time to adjust.
why would they care? Look how long it takes The Death Star to power up and fire one blast to destroy a planet. The borg ship would drop out of warp next to the Death Star and while they're powering up to destroy the borg, they would already have borg energized onto sections of the Death Star and be assimilating critical systems. Now Vader would fuck up any borg he encounters but the can't be all over the death star at the same time and with the individual borg shields, most all the others on the Death Star would be helpless as soon as the borg adapted the blasters. In no time the borg would be assimilating crew all over the Death Star and Vader would be out of there.
This is awesome, it's like the arguments we had when we were 12

good memories. I love Star Wars too, saw the original in the movie theater opening day and all the rest on opening day. Two completely different universes. Star Wars is cooler, Star Trek is for geeks. I like them both. Love BSG too.