I'm not an expert of audio, but since I see no replies, I'll post mine.
I think this IC is much more than you really need. An issue could be the fact it needs dual power supply. Usually, ADCs accept positive only inputs, so you'll need another conditioning stage (passive, at least).
A single supply opamp IC with a good bandwidth (desired gain*20kHz) would do the job without the need for a negative supply.
BTW: which type of microphone are the ones you use? Electret?