Given that this charger carries as much power as any other appliance in your house, I don't recommend messing with it. You may save a few materials and a few dollars, however, one mistake and your house or car could burn up.
Remember that the connector end must handle a lot of strain, high temps, low temps, be waterproof, tolerate many insert/remove cycles, and be safe enough to handle, all while carrying over 11 KW. That is a huge mechanical challenge and it will take serious tooling and procedures to do safely.
I recommend bringing this in to Tesla. It is likely possible to replace just the cable. I've replaced the cable on my Clipper Creek CS-100 J-1772 charging station. At the charging station end, there were some large screws to clamp down on the cable. I can't speak for the Tesla wall unit since I haven't replaced one of them.