No Zero, NOT THAT GOD. In Naruto we know of one God...The Shinigami, and One monster referred to as a god...The Juubi.
If there is a Shinigami, then there should be other gods too. If the Gods wanted to send an emmissary to Earth, to introduce Ninjutsu (to help mankind), and to grant deliverance from the Juubi, then creating a Demi-god with God-Eyes, and God-Body power which combine to form the Rinnegan is a great way to do it.
The Demi-God would have God-like Strength and endurance, but would not be immortal. This sounds like the SO6P to me.