So I worked with people in the office here to recable all the core switches for the datacenter along with the patch panels. I worked for 8 1/2 hours yesterday and 4 1/2 hours today and finally managed to get it looking nice.
Below are the before and after pictures of the recabling:
Before it was a spaghetti mess of cables.
After everything, all the cables were condensed into a nice neat bundle, and one of the switches was moved into the same cabinet as the rest of the network equipment.
