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).
I always get companies rolling with "employee suggestion" type projects. To identify them, you need to go ask them what is slowing them down. One of the first projects for one company was a box stapler that one employee was sick and tired of. It jammed constantly. Come to find out, it was an equal opportunity jammer. Everyone got to spent an extra 10-15 minutes with that baby multiple times per week. She picked a team, went through PDCA (plan-do-check-act), and did an a3 closing in front of a very happy group of peers. I often hear "we've been complaining about X for years." a3 is a mechanism to get things like this out of your life for good. When it goes on the a3 board, it gets done. Period.
Just don't start with the fastballs, people will be hitting them soon enough, I promise.