People in this thread keep using "WoD" wrong. If you are playing just World of Darkness, you're not any sort of monster: You're a human in a world full of terrifying, unknowable crap. In other words, pretty comparable to CoC, minus the plushies.
Most of the add-ons to WoD do have you playing monsters, but arguably the best one, Hunter: The Vigil is human beings taking up baseball bats, shotguns and crucifixes to take back the night from the monsters. And given the moral and sanity degeneration built into the game, it's even more comparable to CoC, albeit with the possibility of higher-powered play at Tier 3 (worldwide hunter conspiracies, one of three default levels supported by the game).