I'm a guitarist (and I gather you are too), so I'll try to make a guitar analogy for you. It's kind of like you're asking, "Hey, how's my guitar tone? I know that the midrange is way too scooped, the tubes are going in my amp, and one speaker's blown, and I didn't play to a click so when I went back and doubled it I wasn't really that tight. Also, I know I'm a little out of tune here, and the bass is tuned slightly differently than the guitar, but if you ignore all of that, how'd I do mixing it?"
The problem is that when you're evaluating the recording of an instrument, it's really difficult to distinguish between how much of what you're hearing is the source sound and how much is what was done to it in the mix, and if the source sound just isn't that good, then no amount of polishing it is really going to get you a "good" drum sound.
So, I understand your drummer doesn't have the money for new heads right now. The problem with being a home recorder is so often real-world constraints get in the way with what would theoretically be the best thing to do. However, that's no reason to not spend some time tuning his kit to make it sound as well as he can with the old heads - Greg, I believe, has a great thread on that somewhere around here. Likewise, if he's having trouble playing to a click and that's causing problems with his performance, he could probably get a much better performance if he spent some time practicing along with a click or a metronome until he COULD play with authority with a kick.
Also, you might want to look into some room treatment. It's tough to do this on a budget, but even small things can possibly make a big difference - heavy comforters on the walls will absorb a LITTLE bit of energy, and I've heard of guerrilla home recordists making use of handy living room couches as bass traps while recording in their living rooms, with moderate success.
Finally, there's a great thread I bumped recently about an awesome way to make really good sounding drum recordings at home - I'll link it in a section, but the gist is the "Recorderman" or "Glyn Johns" micing techniques are a relatively straightforward way to get a really good, phase-aligned drum sound in less-than-ideal conditions with only four mics.