Ehh, wasn't doctor stoppage in the usual sense of the word, as I'm sure you know. Due to the ridiculous rules of Rings, there HAS to be a winner. So TK hit Fedor with an illegal elbow strike, opened a bad cut, and they had to declare a winner. Totally lame rules.
As far as the human cock-fighting, it's ridiculous. MMA is far safer than boxing. When a fighter is knocked unconcious, even for an instant, the fight is stopped. In boxing, you are allowed to get up. Boxers with long careers almost always have neurological damage, and something ridiculous like 30 boxers die every year. In the 17+ years MMA has been in tournaments, there have been zero deaths. So if we want to play the statistics game, MMA is the safest sport around. This is getting off topic though, so I'll dismount my soapbox for now.
Bottom line is, I wouldn't mention it anyway. Whether or not I believe it's safe and a good hobby is inconsequential. The people interviewing you will almost certainly think it's a bad thing. Mentioning some TMA probably wouldn't hurt; say you are a Tiger Schulman black belt
