Something like Pilates might be more effective, since it's simpler and doesn't have as many requirements as IMA. A simplistic example would be how Dr. Suess is generally a more effective way to learn to read than jumping right in on Faulkner ("My mother is a fish.") or reading a neurophysiology textbook.
For something that's both more versatile and more effective, I'd look to something like Feldenkrais (which I mentioned earler), which is designed explicitly to deal with the self image, which is the underlying structure for any sort of coordination. Once you have the base sense of self-awareness and control, you can apply it to anything you like, and it's frequently something that happens unconsciously. I'm a Feldenkrais practitioner ("practitioner" is the professional designation for a Feldenkrais person), so I've got a bias towards that particular modality-- although Moshe Feldenkrais was a genius, I'm sure he's not the only genius who took an interest in teaching people how to move, so doubtless there are other very good modalities as well, but the point is that there are methods designed specifically for improving overall bodily function, and learning to fight while doing that just adds an unnecessary layer of complexity.
Really though, the best method is doing something you enjoy. MA, yoga, Pilates, Freerunning, dancing, Feldenkrais, nude beach volleyball-- whatever it is should be something you look forward to when you get up in the morning, not something you feel like you should do just because you think it's good for you. So you could look at something like NIA (a type of cardio dance class) and because it's fun and there's music and girls and no pressure involved it could free up all sorts of possibilities for learning. Coordination happens between the ears, not in the torso or limbs-- once you make that paradigm shift, anything is possible.