A version of MMA or BJJ caled " army combatives" has become a big training thing in teh US military.
Women are encourages /expected to trian in combatives ad regualr tournaments are held on bases.
Usually the women have to grapple men who are , naturally, often bigger so hard for them.
However sometimes a full women's combatives fight is on the card and they get to realy go at each other as shown here
http://www.flickr.com/photos/fortsillcannoneer/7027524573/#/photos/fortsillcannoneer/6881384880/lightbox/there are whole series of great pics of the contest
For the Brits her Dame Kelly Holmes , who won gold running was an army Physical Training instructor and a keen judo competitor until she focussed on running