As someone who knows the facts, I don't believe they'll win. The Saints' stats are top notch, especially in offense. (#1 in the NFL.) The Bears Defense is the top in the NFC, and one of the best special teams in the league. However, the Bears A-game hasn't really been there the past few games. Unless they can get their head out of their asses, the Saints'll be going to Miami.
... But if the Bears do win, I'm betting money on the Patriots to win in Indy. Then it's proof positive that the NFL's rigged. :P
Side note: Both the Bears and the Saints were formerly coached by Mike Ditka. And with the hurricane last year, I can't help but think of another old SNL skit, this time from the Superfans:
Bob: If I may shift gears for a moment gentleman, coach Ditka vs. a hurricane, who would win?
Todd, Pat, Carl: Ditka, Ditka!!
Bob: Hold on, hold on, hold on. The name of the hurricane is Hurricane Ditka. (Todd begins to pound chest)..... Is everything ok?
Todd: No problem, just having a heart attack. (Pounds Chest)...... Almost over! Done. Done.