How did tensions between social justice and social control divide progressives?

Progressives believe in social justice, and this conflicts with social control because there're different social group levels, some below others in wealth etc. While it would be ideal to have a society where wealth opportunities and privileges are evenly distributed, it is almost impossible to put that into effect without making a social group angry and greatly disrupting social order. This would require drastically taking from one group to give to another, leading to chaos (People choosing not to follow laws or the government). This divides progressives who are pushing for social justice, and those who are looking to keep social control. The present day result is less social equality in order to continue to make people follow social laws and be peaceful. Creating a larger social gap.