you can be moral, healthy, and happy without faith in God

Paul saying those that didn't know God and that didn't have the law but that acted justly being justified because of their actions doesn't imply to you that it is possible to be moral, healthy, and happy without faith in God? How about this, where in "There is a law, irrevocably decreed in heaven before the foundations of this world, upon which all blessings are predicated— And when we obtain any blessing from God, it is by obedience to that law upon which it is predicated." does it mention anything about having faith in God being a prerequisite for receiving a blessing? Where in "if ye have done it unto the least of these they brethren ye have done it unto me" does it say that one must believe in God for that to be valid?

Regardless of its scriptural authenticity, it is a common claim. I'm not surprised atomliner thought this at some point.

[Disclaimer: I'm extrapolating from mainstream Christianity here. It's possible this does not apply to Mormons.]