I appreciate all of your suggestions and help. I think I have finally resolved my issues; at least enough where I can get back to focusing on what I need to.
Basically, I had multiple electrical noises across two devices.
On the Moog, I swapped to from a balanced cable to an unbalanced cable, then used a ground lift adapter on the plug. The combination of those two seemed to have resolved that issue.
On the Nord, I moved the power to the same strip as my interface, then used a USB filter between the device and the computer.
Electrical problems suck.