I've seen that tried and failed, in the end posts will get deleted or moved entirely to a certain thread. Never to be seen again, heavy handed moderation will fail in the end. Some back and forth is good, problem arises when you have people who have nothing to say interjecting nonsense into a thread. If you can't back it up, don't post it, and if you are wrong admit it. it's a simple concept.
Over thinking small problems and making a big stink about it leads to bigger problems. I've been a mod for years on a forum with around 5 thousand members. Stick to the basic rules and let people come and go as they please.