Wrestling does help for sure, but you gotta know when to use it---and when to not use it. I remember seeing a fight back in high school when this wrestler (a good wrestler actually) thought he owned the locker room. He started talking shit to a basketball player who took some kind of martial art. Basketball player shoves him hard, wrestler shoots for his leg and takes a kick to the face as he's coming in.
Game over.
That's why it's important to know a few different forms of combat---because when all you have is a hammer, everything starts to look like a nail.