No reason to think the Broncos can't have as much success against the Panthers' offense as they did against the Patriots'. I hate Tom Brady and the Patriots more than anyone but even I can't deny that they've been pretty much unstoppable for years. Aside from a few extremely rare games that things didn't go right for them(and that happens to every team once in awhile) it hasn't really mattered who they've played or how good that defense was, the Patriots always found ways to score points. Even against the top tier defenses in the league in any given season.
Credit to Wade Phillips and the Denver defensive personnel because they completely dismantled the Pats' offense in a way that nobody, or almost nobody, has been able to do in a long time. I don't care how hot Carolina is playing right now, their offense isn't in the same stratosphere as the Pats as far as consistency and somehow ALWAYS coming up with those important clutch plays to hang in a game. Even in a game where the Broncos dominated pretty much the entire game Brady found a way to come back within 2 points in the final seconds with a chance to tie it. Usually when a defense is beating the shit out of you that early in the game it just gets worse from there unless you have like one of 3 QBS in the league, and Cam Newton isn't one of those 3 QBs. If Denver starts getting to him early he's not going to be able to bounce back.
Add the fact that Denver's special teams played lights out in that Pats game and you have a recipe for disaster. Another thing we haven't seen many teams do over the years is consistently win the field position battle against NE. Their returners are slippery little fuckers, their kickers are stellar, and it's almost impossible to keep NE to 3-or-4-and-outs and make them kick from deep in their own territory like Denver did.
If the D and Special Teams plays like they did against NE, Peyton Manning and their offense won't have to do much at all to win the game. Unless Denver has a crazy series of unfortunate events during the game I'd be shocked if they lost.