It would be contradictory because if they respect each other, why would they trash talk each other?
I've heard of pankration; it combines the attacks of boxing and wrestling, but has very few rules, and was an ancient Greek predecessor to Brazilian vale tudo. Let me ask you this, though: if there are lots of European martial arts, why aren't they popular? Why aren't they as popular as their Asian counterparts?
And Psychotic, I edited my post, adding things to it.