^ Yep. This is precisely how i expect the city to react if indeed that is what we're going to see.
There would be a huge distrust of Batman and Gordon. Just think, if there is some memorial to Dent, then the people find out he's a fraud, they have spent all of this time honoring a criminal and condeming a hero. A little bit of uproar can escelate very quickly if you add in a character like Bane.