Witchcraft is an art, craft or practice that can be practiced regardless of, in spite of, or in tandem with religion. Witchcraft is a type of sorcery that is often practiced by the less enfranchised, whereas ceremonial magic traditionally has been populated more by people of means than those with less. Although witches may use whatever ceremonial stuff they can get their hands on. In this regard, witchcraft(s) often utilizes folk magics to accomplish its means. A “witchy religion” as you put it includes witchcraft(s) in its practices. Witchcraft(s) are often methods of generating personal power or power for a small group using mystical or magical means outside of the mainstream.