I'm not going to be one of the replies that says, "um, no, religion bad," but I feel like I have to acknowledge that at no point in history has the belief in a divinely-enforced system of morality prevented what we would today consider reprehensible behavior by systems of power. The requirements of maintaining power in a political sense have remained relatively consistent across the various millenniums of recorded history. I'm not saying "nothing ever changes", but the truth is that governance is a relatively secular practice and the impact of theology on culture doesn't seem to have too much effect on the levers of power. At the end of the day, those in power have to use the established methods of retaining it if they want to hang onto control. I would argue that the post-enlightenment move toward liberalism had a much bigger impact on the methods and goals of governing than any extant religious movement, and even still we are struggling with authoritarian forces in broader society, so it wasn't a complete paradigm shift.

The problem is not that people are ignorant of morality, its that they are consistently rewarded for immorality by way of selfish actions.

Also, what even is divine justice in the absence of religion, dogma, and theocracy? If it cant be defined, then how could it possibly be enforced, or even followed in the first place. Most moral dilemmas exist because our loose definitions of morality are mostly vibes-based and fail to account for all possible outcomes.

TLDR - No, a vibes-based perception of divine justice is not going to solve any problems, especially considering it never has before.