The Closed Fist is not based entirely upon doing violence, despite its name. Individuals following this path may be quicker to resort to violence than others, but a trained warrior can wound just as easily with the open hand as he can with the closed fist. The Closed Fist is a philosophy of doing whatever it takes to further one's station, regardless of the consequences this has on the world at large.
While The Closed Fist isn't necessarily evil, its followers tend to take its tenets in that direction. The Closed Fist teaches that strength is power, that power is desirable, and that all things bow to those who know what they want. The Closed Fist is not concerned with consequences or with balance
Following The Closed Fist has its rewards. The core philosophy leads many to far greater things than they would have gained by quietly observing their station, simply because people who follow this path have no problem reaching out and taking what they want. Many people in positions of power in Azeroth are there because they reached for that power and grabbed it before someone else could do the same.