As laws are discovered - as the laws that pertain to the human reality are discovered - then the possibilities for justice become much greater. Therefore it is imperative that a new approach is taken. Part of this new approach consists of abandoning of all of the laws that were simply legislated by the ego-driven interpreters and the ego-driven interventionists (ie. the State and its agents) and that formed out of the quagmire of moral relativity.
Here is one example of the discovery of these laws and how they strengthen justice in human civilization. The study of praxeology (and its subset economics using the subjectivist methodology) has found many operable laws for us to examine.
The disutiltiy of labor is a law in operation in the realm of human action. In simple terms every person would prefer to leisurely pursue what interests them, rather than and over, the requirement to sacrifice their leisure to perform work. This work is a necessary requirement to be able to generate income for sustenance and if possible to afford the pursuit of leisure. This phenomenon is called the disutility of labor and it is a law.
Consider the implications this has for justice. If I violate someone's property rights then I will be required to compensate them for the damage. Because of my disutility of labor the consequent dissatisfaction that I would potentially experience would minimize or eliminate my careless violation of another's property rights. As a result the society will have a strengthened sphere of justice and the civilization will be able to advance.
It is the discovery of the laws of human action which are at the foundation of human civilization. It is time to build civilization from the ground up!