That damage looks like nothing at all. I doubt there is any serious damage to the structure. The fenders buckled a bit and would probably come right back with a pull. Don't take anything apart, put a chain, at least 5/16 around the center section and pull it out a bit, see what you got. You can do it with a come along, or go ghetto and use a truck with someone with common sense inside. Put the emergency brake on to hold the car back, shouldn't take much to pull at all. Pull on an up angle a bit to release the fenders, tap on the buckle with tension on the front panel. If you leave the hood latched, you can tap on the creases there too. What you are looking to do it restore the gaps before you take anything apart.

The core support is very simple on these cars. The tie bar unbolts so that is no problem to replace, but above all, don't take anything off till it is close to the right place. You should be able to tell when the support is right when the radiator is straight again. You can also cross check the right rear fender bolt to the left front fender bolt to see if the aprons or rails have sway in them. (and back the other way) The rails are pretty straight and should be easy to see any problems. Structure damage would be your deciding factor to fix or part.