I understand your position and I get what you are going for, but…
I submit to you Ayn Rand.
Atheists can be giant pieces of shit, too.
She used her atheism to argue for the benefit of selfishness and promoted dumbass “great men” theories of humanity. She was not Christian but ascribed to similar belief in the need for bullshit heirarchies with lazy fucking losers stealing the value created by labor sitting at the top.
Like her daddy before communism. Waaah so sad for daddy’s violently fascist supporting little girl.
So I don’t think it would solve as much as you think.
Humans are not rational creatures. We are rationalizing creatures and we can rationalize and justify almost anything to ourselves for any reason, religion isn’t needed for it. Rand and many others are fine examples of it. She rationalized it because she was a rich kid who had her riches taken back by workers and she didn’t like that.
Humans are bullshitters, removing religion won’t change that.
Like does anyone think Donald Trump is seriously, actually religious? Anyone? A guy like him would exist with or without religion.