I think you can be brutal and take losing poorly in this sport and still be considered an ambassador of faith based organizations. What other sport pits you in a straight up head to head "I am going to kick your butt" mentality. That doesn't really lend itself to being in a frame of mind right after a loss of conciliation. I'm not comparing it to combat but I imagine its one of the closest things you will find it sport.
I have rarely found either Brands brother to be hot headed when outside of competition. In interviews after matches you can still see they are intense. Often times I have seen a lighter side of them, they can be engaging, even funny. But I think you dismiss too much when you say you can't see them being ambassadors for christian athletes.