A crisis can cause people to look at their values, roles, and rituals critically. Note that a crisis is by definition, acute. Nothing that lasts over 20 years is a crisis. Now THAT was a crisis. You can take advantage of a real crisis that happens.
People become open to listen when they are threatened by a crisis.
You have to be careful, though, since a crisis can also cause people to hunker down in their holes. Find people willing to try something new. In the absence of a crisis, you can create one. Jim Coplien and I have had considerable success with organizational studies in which the participants identify the roles in the organization, and enact their processes. They gain considerable insight through the exercise, we provide feedback, and even compare them to other organizations.