What if you put like a paper clip into the heat shrink, came out the backside and wrapped the paper clip up into the dash area? Not sure what that looks like back there where the wire enters the dash area. The paper clip is firm enough to form into the position you want.
I had been looking around for a while for a light for my 2006 TJ's glovebox, without much luck.
So I thought it was time I did it myself. I sat in the Jeep for a long time going over different options, where to put the switch, what type of light to use, where it was going to go. That was the biggest problem, it had to actually throw light in the glovebox when it was opened. The only option I could see was right in front of the latch where the glovebox shuts. Next problem, wasn't a lot of room there. I eventually found a hard plastic LED strip on ebay for $1.00. The dimentions for the LED strip is 75mm x 13mm and 6mm thick, perfect size. The LED is held on by two small screws, they just screw into the plastic. Then I had to work out how to activate the light when the glovebox was opened. I ended up going for one of those aftermarket car door switches. It has a long black plunger on it and you just cut it to your desired length. I decided to use constant power which I took from the number 2 fuse in the fuse panel behind the glovebox. I used a mini fuse tap and a 3 amp fuse as that is the smallest I have. So, I have power going from the mini fuse tap to the positive wire on the light, then the negative wire from the light goes through another 3 amp fuse to the swtich. When the glovebox is opened the switch makes contact with ground and the light comes on.
My TJ is Right Hand Drive, if you are wondering about the photos.
Last week I finished my center console!!!, my glovebox was already done when I first read this thread, the additional steps I took where drilling 2 holes to the tuffy console insert to pass the voltage cable and to hold the switch, If you are planning to install a tuffy center console you can run the wires and make the holes before installing...