Sounds like my goals for the first Uechi Championships. . . Copntinuous stand-up and limited grappling. A good idea, but badly implimented. . .
We need more interdojo training sessions, where people can train together and learn both the positive and negative implications of a particular sport. In other words... the rules.
Once enough students become familiar with the rules and comfortable enough with the idea of competing, they will participate in a limited or open event.
A good place to start is supporting existing events, such as the one open Uechi Championship. If we can't convince our students to participate in a relatively safe event, using rules of a sport that has been around for 40 years, I don't see much hope trying to convince them to do something different, that is perceived as far more dangerous.