The engine of capitalism (or for that matter any free enterprise system) is Adam Smith's  observation of the "Invisible  Hand ".Indeed it seems it is the engine of political democracy as well. The Invisible Hand is by definition not a monolith but the result of innumerable human components each seeking its "own best interest" which results in a position/conclusion as to what is in the best interest of the majority.  Clearly this recognizes there is a minority but that minority is also made up of various different interests , none of which carried the day or has a consensus.

If you want to effectively pursue the goals of "social justice" the concept of the Invisible Hand requires that you work to achieve those goals at the individual level. Promoting top down government control is a grand approach when it is only the granular/individual level  that actually effects real change. Change the hearts and minds of the individual and you will get the effective change you desire in Capitalism.