Thanks guys. The system consists of autonomous switch replacements throughout the house which 'listen' for pulses sent along the neutral line. Technology is called UPB and is very common in home automation. Effectively this would be like installing a nightlight replacement in the outlet or something like that. Very low power draw device that does not control any load. Admitted I don't understand the inner workings of the GFCI system. Home is 3 years old and there are probably 12 GFI outlets throughout the kitchen and island area. I just wanted to pull power from one of them, hoping to simply 'jump' or connect the gfci from this outlet as if it were never there. I appreciate the advice and warnings though. I certainly have no desire to make the home unsafe.

You can make a cord. Note that cordage counts the ground so you need 8-4 (unlike cable which doesn't count the ground). You can't run cord through the walls/structure, so unless the transfer switch is mounted exterior (or in the garage or someplace you can go through the door), you'll need to mount a inlet on the house and run approved interior wiring to the transfer unit.

If you want to figure it out, find your power source FIRST. It could be in the ceiling box or the switch box. After that, draw a diagram or look up a diagram online of how the wiring should be for your situation. This allows you to understand what is going on. I get confused with a few wiring schemes (usually 3 ways) and like to look at diagrams to get a grasp of what is going on. Once you have it figured out, then try to get it to work. It is more than likely you have a 3 way switch when dealing with the red which is always hot. That means your power source might be in a different switch box completely. The 3 way would be for the light, and it sounds like a separate hot is there for the fan, which could be capped off and discontinued. You wouldnt be able to use the dimmer for that light if it is indeed a 3 way circuit. 3 way circuits require special dimmers that communicate with each other. You cant dim with one side and expect someone to turn the light on on the other side and have safe passage in the room. The simple way of finding the power source is unwiring the hots in the switches and fixtures involved, leave the hots exposed and not touching anything or each other. Then turn the power back on and take a quality non-contact volt tester and find the live hot.

to answer your main question there is no reason for wires to be pulled over the edge of the valve box. the best thing to do with them is to use a water-proof wire nut on each wire and place them back in the box. it is possible that they may need to be connected color to color which may fix your valve trouble.