If you want to make sure that you never have a problem with amechanic learn to do the work yourself.

How do you install a strut backwards? This I have to see. How did they install the axles wrong? Axles are a no brainer install. With all the problems you mentioned with the tranny you should of known somehting wasn't right as soon as your drove it. Before you bash Tom and hte shop anymore post up a scanned copy of the formal letter so we can see proof or at least another shops opinion of what was installed incorrectly.

From my personal experience with people complaining about work done incorrectly it is actually the customer who is incorrect. Especially when the problems you described would be noticable from the first time you get in the car or the car was even driveable at all.