Is the brief you're suggesting something that is filed with the court or something for my own personal use as a function of getting it all down on paper as you suggest? I can't find anything in the local rules re: submission of any such document and its not clear to me if I also need to submit a CMC statement as the notice from the court doesn't specifically reference this is a CMC hearing.
It serves a dual purpose. One, it helps organize your thoughts about the laws and facts involved. Two, whether required by rule or not, it helps the judge understand the factual and legal issues that he or she will be looking at during trial. I generally like to file trial briefs, even if not required, because it provides you with an opportunity to have your case "heard" by the judge before hand. By framing the issues early, it can help make your case as trial easier to understand.
If you are unsure about the rules, it is a good idea to confer with legal counsel in the area because the local rules can often be more complex than the general court rules.