I am not constructing Plato's Republic as all. Egalitarian utopias are the relm of the left . On this posting I have mentioned Margaret Sanger a couple times. I would say her eugenics is her prescription to the Plato dilemna of the intermingling of the classes .
“All the wisdom and education of your rulers will not attain; the laws which regulate them will not be discovered by an intelligence which is alloyed with sense, but will escape them, and they will bring children into the world when they ought not”
Plato's Philosophy of Sex
In 'Republic', Plato is openly hostile to individualism, which he believes destructive of the collective good . The individual is indentured to the state.
Justice is synonymous with the well-being of the City. (or as SCOTUS likes to argue often ..."the compelling interest of the state ")The classes exist to work as a harmonious collective.
To his credit ,Plato created Republic and then realized the society he envisioned was an unworkable utopian model.
Keep going because there are indeed great minds that the philosophical foundation of theAmerican Republic was based on. But no, Plato's Republic wasn't one of them .But I will give you this .... Obama envisions himself one of Plato's philosopher kings.