Bane and Bruce/Batman's relationship is the best match I think I have ever scene in the hero/villain scenario. In the Dark Knight trilogy, all of the villains justify their acts in some shape or form in their own heads, and they are labeled as "terrorists." Bane's mission, is the same as Ra's Al Ghul's from the first film. Burn Gotham to the ground because it is too corrupt to be saved, so they can rebuild and start a new from the ash. Bruce trained under Ra's Al Ghul and was meant to be in the League of Shadows as well to lead them to Gotham. Bane and the Shadows view Bruce as a traitor, and is standing in the way of their goal, so their relationship is very strained.
Throughout the film, we see Bruce and Wayne pal around, have each other over for dinner. Just kidding.
Bruce's demise is the destruction of his home. Bane knows that, it is why he left the league to defend Gotham. In this scene, he breaks Bruce into a shattered, old, injured man, far away from his home, rather than killing him. "You do not fear death. Your punishment must be more severe." Bane decides to televise via news broadcast everything he and his team do in Gotham to destroy the city. As Bruce lies down, back broken, he can do nothing in Bane's mind.