The problem Chevy faces is the stereotypes of current Corvette owners. It's commonly seen as an old man's toy, something that is driven by the "successful plumber." Chevy desperately needs to change that with the next generation car. How can they do it?
I'd start with the interior.
When I'm spending $60,000+ on a sports car, I expect to be wowed while I'm sitting in the car. The C6 Corvette looks great from the outside, but the interior is such a let down. I've driven a C6 and a C6 Grand Sport, and found that the seats are lackluster, instruments look cheap, and materials aren't up to snuff for a car in that price range.
What do you think Chevy can do to make the C7 appeal to younger folks?