I do not recommend adding that to your system. The bose system in the Vette was designed specifically for the Vette and adding anything to it will destort the sound quolity. I was told this by several audio people including some friends of mine. They recommend changing out the entire system if you were to do anything.
Dan72 is correct, live with the stock system or do a complete change out. The system is not compatable with any quality aftermarket system, and remember your sound system will only be as good as your weakest component.