It didn't have to be a whole scene, though. Just 30 seconds or a minute from the crew. Some reaction shots. Have Sulu hesitate to take his order.
"Scan the enemy vessel for signs of life."
-Sulu is frozen at his console.-
"There's no way anyone survived that..."
Ya know? Personally, if I had edited it, I would have intercut the destruction with some reaction shots from the Enterprise crew, some people covering their mouths, shock, murmuring. Just a little more oomph.