So you're viewing it in a Western context. I'm not. By moderate Muslim I simply mean someone who believes that religious views should not be imposed on other with force, as opposed to an extremist who believes so.

In the context of the video, Abdul Aziz would be an extremist and someone not subscribing to his brand of religion (which is imposed on gunpoint) a moderate. Whether a person is a practicing or non-practicing Muslim is irrelevant to that.