Re: What is your art?
Well the phrase: 'Many paths may lead to the same destination' comes to mind.
All though each style evolved from similar origins in Japanese martial arts in the past, they evolved asking different paths become what they are now. That being said, their common ancestry is what allows us to find the links in each of them that makes the 'cross application' possible.
The core use of body mechanics is similar. Just the approach on how to use then and the way one applies them in a situation may differ.
Just my thoughts based in what I observe in both my Aikido training and observation of MMA/BJJ seen and used in the ring. I have not trained in BJJ or MMA, only watch, observe, talk with those who do.