That could be a definite possibility, if you can separate the sessions be at least four hours, or so. A basic full body or upper-lower split could work great.
DeFranco's WSSB is popular with some martial artists I know:
Here's an Elite Fitness article, from a guy who made "traditional" Westside training fit a 3-day-a-week schedule:
Whatever you decide, I think it would be a good idea to follow DeFranco's idea, and lay off the DE lower body work, since you're doing so much lower body-dominant endurance training.