What extent will enlightened leadership solve the problems of faction according to the Federalist paper 10?

In Federalist No. 10, James Madison argues that enlightened leadership alone cannot entirely eliminate the problems posed by factions, as they are a natural result of human liberty and differing interests. However, he believes that a well-structured government, guided by wise and virtuous leaders, can mitigate the negative impacts of factions by controlling their effects through a large republic. By extending the sphere of governance, diverse interests can be represented, reducing the likelihood of any single faction dominating. Thus, while enlightened leadership is essential, it must be accompanied by a robust institutional framework to effectively address factional conflicts.