The members of WIZ-DOM represent western magery, which includes (but is not limited to) pagan, druidic, and even kabbalistic magic. These will be quite familiar to people in the west, as they go by many terms such as witches, warlocks, wizards, and all other European-influenced symbols of magery.
WIZ-DOM members hail from all sects of western magic. Some might even be disguised as clerics of an established religion; although whether they are really part of these religions (WIZ-DOM members have been seen in both Catholic and Protestant denominations), it remains to be seen whether these are genuine alliances or mere cover for their true nature.
WIZ-DOM members seem to be rather isolated from most of society. Since their magic is of the western variety, skilled in a wide variety of occult practices. Common WIZ-DOM archetypes include sorceresses, alchemists, priestesses, knights, spirits and ghosts, and artificial beings (such as elementals and golems) created via magic. There are also a lot of scholars, as well as people proficient in fortune-telling techniques and archaic western weaponry.
Western magic emphasises control over the magical forces (as opposed to the emphasis on harmony espoused by Eastern magic and shamanism). WIZ-DOM considers the Arayashiki their mortal enemy. They fight for their own ways and their own homelands and care little for anything else. Well, except power, that is.