While there may not yet be a full-blown tournament in the works, the AI Battles have begun! The first few fights can be seen over here: http://ffhacktics.com/smf/index.php?topic=7865.0
If you're interested in submitting your own team, all challengers are welcome! Details on how to make a team can be found in the first post here
and the Master Guide (for all your CCP questions) is right over here
Good luck on the battlefield!