Bronko: Now I am wondering why the wedge pin has to go in from the right side??? I really don't think it matters. Semisane, enlighten me please.
Corey: wondering that too.
`Cause they Do, Dammit!!! 
So far as I know right to left is pretty much traditional for wedge pins. Though you are probably right that it doesn't really matter. However, the manual for my Great Plains says the following:
*Note: The rear wedge pin is slightly longer than the front wedge and is installed closest to the lock. Both wedges are installed right to left. This is true for right or left hand rifles. Sights are also installed from right to left. Sights are removed from theleft to theright.
Does anyone have a TC and/or CVA sidelock manual?