Although I, too, would prefer that the ship not go down, I do like the way it went down in theory. However, in practice, the crew took WAY too long to react and it felt more like the ship was destroyed due to negligence than due to the initial intelligence leak of the shield frequency. This was my issue with this film and ST III. In TNG, even though they are facing a ridiculously outdated ship, when the first two torpedos hit the Enterprise hull, the Enterprise literally fires back with phasers *once* before spending two minutes of screen time talking about the weaknesses of that model of vessel. I realize the effects budget probably wouldn't allow it, but I would be ordering Worf to fire every phaser and photon torpedo in your arsenal. While Worf is doing that, THEN talk to Data about other ways to bring down the Klingons. If the budget isn't there, keep the focus on the bridge and simply play the photon torpedo sound effect over to make it sound like continuous fire while the crew works out how to regain the advantage. With the shot of the phasers being fired once and the slow turn, it just felt like the command crew forgot their morning coffee that day.
Similarly, in STIII, Kirk encounters the Klingons with his skeleton crew. He fires two photon torpedos. The other ship has time to do a full slow roll and Kirk essentially waits until the ship has done so to order shields, which fail. Only after the Klingons return fire and he no longer has the ability to return fire does he even try. While I'm all for Kirk having mercy on an opponent, in this instance it always struck me as ridiculously foolish. You are on a ship with only a few other people, your ship is barely held together with automation and no damage control crews, and you have an enemy who clearly was going to kill you. Knowing all this, are you really only going to fire once and hope that the enemy is disabled or unwilling to fight back?!? No thanks. If I think I have the capacity to fire, I will continue to do so until I am 100% sure that the enemy no longer has the capacity to fight back.