Oh, what a terrible situation, Mike!
One thing that I didn't notice if you tried; your Ford is a 4x4 and I'm wondering if you tried putting it in 4 High and gently backing out of the spot. I'm thinking it probably wouldn't have worked but it may be something that you want to keep in the back of your mind for the future. Of course, this could have gotten you more stuck as well....
I agree that the extreme damage you have experienced is from the hard pull to the side which stressed so many components past their design point. I was having trouble picturing exactly what happened until I saw your photos of the tracks/ruts.
Given this it is probably a good idea to get the truck checked over very closely for any frame/axle/bearing damage because that amount of stress certainly could have damaged something on it too.
If I were in this situation I would probably call up the tow company and have a chat with the owner/manager to inform him what happened. At the very least the operator who did this should probably receive some more training on the proper way to recover in this type of situation.
In any case I wish you the very best in getting everything repaired properly and quickly and put this bad memory behind you. We were sideswiped on our way home from camping on the Easter weekend so I share your frustration in having to deal with the aftermath of poor decisions by others. :M
