Maybe if your style is always thinking about updating to keep things relevant you should change archery to marksmanship and horseback riding to driving. Actually... then it sounds like I am encouraging a ninja drive-by... so don't do that.
Although you are technically 'mixing martial arts', many people would be hard pressed to call it MMA. As for the distinction between MMA and a 'mix of martial arts', I have no idea. You would have to ask some of our more MMA oriented members.