Firstly, I gotta say that I think it's funny that a band called Magnetic Fields only plays acoustic when they play live.
Your initial post makes me think you're dealing with white noise that's spread over the whole audible range, so you're stuck with it. But, when dealing with noise in general, start with a spectrum analysis and try to identify any problematic frequency spikes and notch-filter them out (like 60Hz hum, for example).
It sounds like the root of the problem was the band was too quiet to begin with. Unfortunately the easiest solution to that is to chose your seat wisely and tape with more sensitive mics: there's always next time.
Also, just as a general tip for post-editing: if it's a quiet acoustic show, don't normalize to -0.01db. There's no need to normalize it that loud. Keep the musical peak at something far more reasonable like, oh say -6db or whatever suits your fancy, and use your amplifier to get volume during playback. (I apologize if you know that and have done it already but I'm at work and have nothing to look at the waveform in the file you hyper-linked).
good luck and let us know what you decide to do.