Ok, I know you're NOT trying to get the changer to work, I merely was suggesting fixing the changer vs. spending all this money on other crap when it could be a simple fix.
If the CD changer is skipping, you should buy a CD cleaning kit and try cleaning the laser first. I imagine its NEVER been cleaned, or had some air blown through it. Buy some "air in a can" or use your air compressor and give it a few squirts of air. Then clean it thoroughly with the CD cleaning CD with a brush thingy.
The $4 fix.......there is a fuse inside the CD changer that goes bad and keeps the changer from turning on. This will throw the "NO CD" code a lot of times and people will just give up and toss their changer. You can take apart the changer, find the fuse, go to Radio Shack and buy a new fuse and solder it in.