phase-stability two op-amps
You only need to consider the phase around the feedback loop.  Since you don't have feedback from the output of the second to the input of the first you can treat the two independently.

If you wanted to feedback from the output back to the input you would have problems.

You have rather low feedback resistors - is there a reason for that?  They will consume a large amount of power and of your output current capability just to drive the feedback.

It will help reduce Johnson noise but is not really necessary in the second stage as noise there will be dwarfed by that in the first stage.