Yep. That's actually how I got my nickname in the first place. MMA was said to be human "rooster" fighting, which I found rather laughable (no, MMA is not about touting two innocent small animals trained to kill eachother in the same area, MMA is a sport albeit looking pretty violent to bystanders) so I created the nickname "Fighting Rooster". In French, to be a little special.
No, you are right, MMA is sport, it's not "the most realistic" since they are stuck on the floor hugging eachother all the time and that never happens on the street. Even the way MMA fights often end won't happen on the street (tap out).