Doubt it. He has Kirby Smart in his back pocket, and I just saw on NFL.com where Lovie Smith had his GM and OC fired, and when the owner mentioned the HC status, he said that the new GM would have Lovie as the coach for 2012.
NFL.com news: Bears inform GM Angelo he will not return next season
Guess what? Lovie has a contract through 2013. What does that tell you? Tells me Lovie better be looking around for a landing zone. What's great about it for us is that Lovie has proven that he can win. He had them in the NFC title game last year and when Cutler was healthy, they were easily a playoff team.
So, on one hand, I hope Shannon is indeed hired, but I'd be even more stoked if Hart were to pull the plug on Dooley (whom he never hired) and swung for the fence (like Bama and Ark did) with L. Smith.
Lovie would have tons of NFL coaching ties and likely bring a handful with him = recruiting magnet.