Basically the PM freely admits he had a hard time grasping on the nature of the offense, and that his conduct was informed by the notion that while a person might object to someone else's behavior, that doesn't automatically mean he has the right to correct it or punish that person for it. The former stance strikes me as somewhat convenient, as the objections in the Danish cartoons crisis weren't always because of the original cause, but because of a growing web of political actions and stances brought into play by that first cause.
Rasmussen's latter notion is a point of view I heard repeated a lot, and underlines the difficulties presented by the core situation.