Wing is super easy to remove and replace
Start by disconnecting the negative battery terminal

Don't mess around with motor and mech just buy a complete set (the Price for replacement part is equal to or less than 1 hour door rate at most service centers)
I've attached a link to one here
04-08 Chrysler Crossfire Coupe Rear Trunk Spoiler Wing w/ Motor White Tested OEM | eBay

Installation is super easy ( If you can work a basic set of tools you can do this. But its a good idea to have a torque wrench that capable of 6 Ft/Lbs or 71 Inch/Lbs. You don't NEED the Torque wrench BUT if the job's worth doing, its worth doing right)

Download a copy of the manual (located on this site)
See section 23
start at Page 116
(I've attached a low res copy of the Manual pages required)
You can remove your spoiler from the existing mech and motor
replace that item and reattach your spoiler to the new motor/mech assembly

Replace both mech and assembly and keep your existing for parts

This should take you 2 hours or less. Most likely less.

Just cover the painted areas where your working, You don't want to drop anything onto the paintwork.
You want a smooth transfer with minimal F words, so read up on the process in the manual then execute. It might also be a good idea to get a cheap set of body trim tools they make removal of the lower trim Panel for Hatch and roadster.

Please let us know how it works out for you.

Knowledge = confidence