How does the type of organization $($e$.$g$.,$government vs$.$corporation$)$impact the style and approach of leadership? Moreover, create and expand this question with at least three sub$-$questions. In your answers, incorporate insights from modern organizational realities and apply different philosophical concepts such as social ontology, Machiavelli $($The Prince$),$ Confucius $($The Analects$),$ Plato $($The Republic$),$ and Stoic principles. Provide detailed explanations with real$-$life examples of well$-$known government and corporate organizations.