But, we all have to start somewhere. When we are getting started using this methodology, people don't hit 95 mile-an-hour fastballs high and inside out of the park. It's more like hitting a beach ball with a wiffleball bat. Simple projects to teach the scientific method of problem solving. As companies get started doing lean, the projects are 20% about ROI, and 80% about developing a culture of ownership and teamwork. a3 is one of the best silo-busters I know. Start people with easy wins while you teach them how to select and engage a team, teach them not to jump to solutions, and then get them over the hump in presenting to their peers (scary for some).
Just don't start with the fastballs, people will be hitting them soon enough, I promise.