You would want to check in a first step, if the specified noise level of the MEMS sensor possibly dwarts your design idea. With full bandwidth, the noise level is in the order of several mg. Measuring below mg will be only possible with rather small bandwidth. Don't know what's the intended application bandwidth.
To remove the static bias, you'll peferably use a high-pass (or band-pass) fílter. There's no particular purpose of an instrumentation amplifier, an AC amplifier with bandpass charcteristic will do.