Noise should be as expected, reduced by the gain of the added input stage RMS summed with en of the input stage and Johnson noise of resistors, particularly the 10kΩ gain resistor which gives 13nV/rtHz.
Distortion should also go down.
I would worry more about stability. The original feedback connection serves as a feedfoward of sorts around your new stage, but for it to reliably drive the opamp, there must be no significant signal on IN+ at high frequencies. Or you would need to ensure very low phase delay in your circuit at high frequencies, so practically flat frequency response.
Another thing to watch out for is feedfoward through the Miller capacitor C5. If its conductance at some frequency of interest is greater than transconductance of the JFET, then drain signal (which you apply to IN+ of the IC) will be in phase with the input signal (taken from IN- of the IC) and will end up cancelling it.
One trick used in old opamps is capacitive feedforward around a noninverting input stage, in which case the feedforward has expected phase and contributes positively to stability. Second stage (the IC in your example) must be inverting, of course. See LM318 or LM301 datasheets. In those cases DC goes around through the input stage, but maybe you could AC couple the input stage and run a resistor from the feedback network straight to the chip (IN-).