Your spring packs look bent. Like they were severely overloaded, jumped, or subjected to high horsepower drag launches and wrapped up beyond their strength point. But, that is an entirely separate topic from the tire squealing after alignment.
When you changed the springs, it changed the ride height, which alters the alignment angles. If your alignment was on the edge of acceptable prior to the change and your tires were worn in to these angles, the spring change put it past the point where your tires were worn and now you are wearing them in on a new angle, which makes them squeal.
As requested by several, please post a photo of the alignment spec sheet. Simply saying it is set to daily driver specs doesn't mean anything. That's like saying you have a 3/4 race cam. If they did not provide a spec sheet, then we have nothing to go on. Ask them if they have a copy. If they cannot produce this, odds are they did not do it correctly and we still have nothing to go by. So you have two choices, have them redo it to specs below and demand the spec sheet, or find another shop and have them check it to teh specs below and provide you a spec sheet.
I saw on hear in tech archive you can't go by factory specs, don't anybody have anything to say on that???... So you can't go by the old repair books?
So the rear can't be off as long as its in the hole's?
No, I wouldn't use the factory alignment specs for a regular driver using radial tires. The original alignment specs were designed for bias ply tires. Bias ply tires have a very narrow range in which they operate efficiently. Radials have a much wider range of operation. This is why you can use more aggressive alignment specs to create better handling by using a radial. IMO, since you aren't providing alignment specs to us, I'd take a guess that the shop actually gave you positive camber (which was sometimes necessary with bias plys) and now your tires are protesting the bad angle by squealing. If you go to a new shop, heck, even if you go back to your old shop, ask them to align it to 2005 Mustang GT specs. When they say they can't meet the caster figure, tell them to do the best they can. When they are done, ask for the spec so you can see the before and after difference, enjoy your drive home with the new, improved angles, report back here.
Then we can talk about your interesting spring configuration. FWIW, bent springs do work. They aren't optimal and should be fixed, but they will perform their basic function of locating the axle and allowing suspension motion.