The voltage divider for the input bias must be decoupled. Those high value resistors will produce considerable Johnson (Nyquist) noise and may also be producing additional noise, depending on the type. They should not be carbon film. There is a buffered supply midpoint voltage available from at U2.1. Is there any reason not to use that for biasing the input buffers? Each could be biased directly with a single resistor, which would remove the gross impedance imbalance at the inputs that exists in the circuit as it is.
I would test with the IA output reference driven by a fixed DC voltage rather than the integrator until everything else is confirmed to work properly.
I would test with the IA output reference driven by a fixed DC voltage rather than the integrator until everything else is confirmed to work properly.
