Ethics and Psalms

So when I think about ethics I think of a system or a code by which to follow because of the principles that it entails morally. And now when I think of Psalms I think of short stories or passages like poems or songs that are very similar to prayers. That then of course links me to thinking about prayers which to me are a form of communication between oneself and God spiritually. Going back to ethics, I of course see many things about ethics within the Psalms.
One Psalm that I would like to bring up is Psalm 37. Right away the Psalm establishes an ethical stance which includes:
"Do not be incensed by evildoers. | Do not envy those who do wrong." (Line 1)
"Trust in the LORD and do good. | Dwell in the land and keep faith." (Line 3)
"Direct your way to the LORD. | Trust Him and He will act, | and He will bring forth your cause like the light, | and your justice like high noon." (Lines 5-6)
"Let go of wrath and forsake rage. | Do not be incensed to do evil." (Line 8)
I would have to say that the ethical stance reflected in this book includes being right and just. One would need to trust and follow God for it is the principle of ethics. One should not associate in any way shape or form with the evil or the wrong but rather the good and the right in order to be ethical. I see this Psalm to say that to be ethical one must stand his ground righteously and not sway to the forces of the evil and wrong. Ethical is then in a sense synonymous with right and just and faithful to God.
And of course this is an ethic that is very livable. I mean what is wrong with being right and just? Absolutely nothing! I see myself as a nice and right and just person for the most part so I would then be an ethical person as well. I think that I "let go of wrath and forsake rage" because I see myself as a pretty laid back and tolerant person. Since I am still living as well as many other who share this ethical stance, this is very well a livable ethic. This is very much comparable to the ethnic that I associate with Christianity and Judaism. I see the people of Christianity and Judaism to be people who are right and just because they follow God and put their faith in Him. I see them as having more of a reason to be right and just because they follow God and therefore have much graver consequences if they don't. Also, the ones that I have encountered have been extremely nice that make me feel not so nice in comparison.
However, one can and may be quite nice, right, and just without being a follower of God. So yes of course I feel like something is missing because nothing is perfect. These Psalms always speak about the LORD and being right and just and not being incensed to evil but to put your faith in God. What about those of us who don't believe in or follow a God or Gods that are still right and just and not incensed to evil?