It did feel that the combat was very close. But it looked great, so no complaints there.
As for the torpedoes as a killing blow, that does make sense. With the kind of energy-generators on starships, phasers should technically last for a very long time, with emiters and powergenerators being the only things taking up space. If the generator keeps on supplying unlimited energy, they could last forever. And I asume technology is advanced enough for that in the future.
Torpedoes however, are finite. You can't stack up unlimited amount of them (unlike Voyager

) and you need to resupply them, even if they can make them onboard. However, depending on the payload, they are more powerfull then a phaser.
So yeah, draining/disabeling your enemies shields with phasers, then taking them out with a torpedo makes sense.
Why aren't the Klingons doing it? Perhaps they are more gung-hoo when it comes to attack strategies. Take your most powerfull weapon, and keep shooting?