Militant atheists tend to embody anti-theism. It typically manifests as active desire to dissuade anybody from holding religious beliefs or performing religious practices.
Any clergy, whether faithful or secular, has the capacity to act in a militant fashion.
This is well said. I enjoy reading Ryan Burge's articles about religion. He delves into the stark differences between, as you say, "anti-theism" and the "nones" who are not a member of any religious group whatsoever.