It sounds a lot like the quick mix I usually get for tracking bands.
What I usually do here is we have a Mackie 32x8 analog console. And I'll have the drums coming in on like 1-12, or whatever, I mic everything:
Top snare, bottom snare, toms, kick, hat (pencil condensor), ride (pencil condensor), and then I will mic every cymbal with a condensor. Two room condensors, and then a dynamic in front of the kick drum, but like 2 feet back, like a Beta52 or something that will catch some woomph (acts kinda like a subkick in a way). What I do with those is I do the real compression on the drums before it hits the DAW that way everything is leveled out. Then I do like a quick EQ on the drums using the board, just to notch out the toms to make them slap, and get some of the bad mids from the snare, make the kick clicky, roll off all of the overheads, and then I setup the panning. Then I let him track. I don't do the serious mixing/eq'ing until we get ready for bass guitar.
Those drums sound like my quick mix, only my kick drum is usually a lot fatter and has a better click to it. The cymbals, hats, and snare sound almost identical to how I do it at first. Not bad, it's a great starting point, seriously. I never have problems getting the sound I want once it's at that point.
~006