That's a start but it should be LIVE and Local.
Why?
Overnights exist because stations either program something or sign off. From a business point of view, overnights are used to average down the spot costs of advertising packages, which only makes economic sense if the programming is cheap. Even on a station traditionally live after midnight, such as WBZ, overnights are where you economize. Even when turning big numbers, overnights are a tough sell on their own.
And, since your better talent is on during the day, why not run them when folks who missed their regular broadcast can listen to them. Folks catching the 'rewind' aren't able to call, but since so few listeners ever actually call in to any talk show, that's not exactly a deal breaker. The only real drawback is the coverage of breaking news, but little news breaks in the evening, and if anything 9/11ish does break, you can always dump out to whomever your news supplier is and let them run while you figure out the best course of action.
Of course, none of this really matters because the real reason for this thread in revealed in the title. If Graham WAS live at midnight, the problem would still be it was Graham and not someone more politically attuned to the views of the originator.
Regards,
TSB