Yes, it _is_ the Anarchy Route ending. As for everything being screwed...well yes and no. Yes, the universe as they knew it ceased to exist (now that YHVH is dead for good, along everyone and everything else), and no, because Nanashi became the new god, so really...I doubt he'd do any worse than YHVH...
Cause he gets rekt'ed for real in the Anarchy Route, then resurrected as a Brainwashed Slave by Dagda that follows you everywhere calling you Master and is most likely Yandere/Yaoi for you now.