Found out today some more about the inertial referencing circuit. Paul told me that when he designed it, he did not design each part of the circuit (the disp part and the accel part) to have a gain of 2 in/s/V. He uses the gain of the last part of the circuit(which differences the signals) to do a final gain adjustment and bring it to 2in/s/V.
Also, I was having some pains doing the gain tuning. I couldn't match the gain well in order to give me a good RR. What I ended up doing was using a very small sample frequency. This cleaned up the differenced signal well enough so that I could easily tell when it was 90 degrees out of phase, which signifies that it is perfectly gain matched.
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