I bought the Black Smoke XCM Case, I got a black controller shell with it for a wireless controller, they also make a wired version, I want to know if I can install this wireless shell on my wired controller.

Just from the information in the first post. You would probably have to do some cutting/sand/etc to get the wireless shell to fit over the wired controller.

The top half of both controllers are the same, as is the larger middle part at the headset connector. The differences are the bottom half and top middle part. You can use a Wireless shell on a Wired controller easy enough, but you'll have to do something about where the cable will come out. Better off getting ya a Wireless controller or seeing if someone has a Wired shell they'd want to trade for your Wireless one.

As for wiring it up, those are completely different spots since the boards are nothing alike. Probably have to toss in a Resistor as well since the Wired controller has 5v instead of the 2.5v to 3v the Wireless does and ya don't want to burn up the LEDs.