Your goal is survival, aiming to keep yourself from giving the guy angles to attack you. Both verbally and in real life.
It's impossible to "win" something like this, but you can hope for what Lindsay has sometimes done, give a reasonable performance which gives those with open minds somethign to think about. (That excludes most of Roberts' audience, but you know that going in).
Kevin unfortunately lied to get on Roberts' show and then was woefully unprepared, leading to his downfall. Don't let that happen to you.