• Redstone Cable with MI System
• Controlable Machine with Redstone
• Redstone/Compartor output based on Input Inventory Fullness / Output inventory fullness / Total inventory fullness / Energy Fullness
• Redstone input for activating desactivating the machine

Does that work for item input/output? I'm trying to disable the automatic export of resources out of a machine via a lever so that I can manually pull out the output instead. My goal is to have this lever disable the I/O of the pipe when it's enabled.

No, machines still auto extract even if they are turned off by redstone

I'm on a playthrough of the StaTech Industry modpack and am hitting a point where I really would love to be able to toggle both machines as well as cables(enabling or disabling their input/output from happening). Is this something that is close?

You can do that with a energy storage unit with a redstone control module