It would be cool but as Alaskan said. We dont want to encourage fighting, especially for younger people.
There is "combat" and there is "fighting." Fighting is a problem, combat is not. If you discourage combat, you severely reduce the kinds of characters that you can create, and as a result damage the RP. Fighting, however, is a completely different matter. This generally comes out as a matter of rule breaking, godmodding, or generally acting like a jerk. Godmodding, at least, could be limited by a more objective form of combat. But combat itself is not to blame, save for the godmodding that occurs as a result under a freeform system.
For example, I am generally pretty lighthearted OOC. I have a character, Karl, who was in WWI. Why should he be forced to find a peaceful solution to every problem when he has combat training? Combat isn't the problem, fighting is.
EDIT: Wait, you were talking about using combat to solve OOC fights like the OP was talking about? Yeah, agree with you there.