Hope you're feeling better soon!
I'm no expert on bodywork estimates, but if I was a betting man I'd say they are going to fix what is there. The energy absorbing bumper and the rear quarters took the brunt of the impact, as I don't detect any warping on the roof panel, rear pillar area or the driver's door. The trunk lid (fiberglass!..didn't know this) and the bumper cover took a beating. Moving to the front, again, the energy absorbing bumper really took the hit. Your hood looks quite clean without any warping and it still appears all aligned. Same for the front fenders.
Based on two pics, it's tough to see what frame damage lurks underneath all the superficial stuff. But I doubt the insurance co. wants to buy you another $25K+ 'Stang when $12K in parts and labor might get it right. Either way, BE AN A** TO YOUR INSURANCE CARRIER AND DON'T SETTLE FOR ONE PENNY LESS THAN YOUR EXPECTATIONS TELL YOU. They will also be quick to "settle" with you. Do your homework and consult with a good bodyman before you have them hand you a check.
-Deano