Did Alexander Hamilton and James Madison have faith in the ethics of the people to establish a republican government in the federalist papers?

In the Federalist Papers, particularly in Federalist No. 10, James Madison expresses skepticism about the ability of the populace to govern themselves effectively, emphasizing the dangers of factions. Alexander Hamilton, while more optimistic about the ability of a strong central government to manage the people's interests, also recognized the need for checks and balances to curb potential abuses of power. Both figures believed that a well-structured republican government could mitigate the flaws of human nature and safeguard against the risks of direct democracy. Ultimately, their writings reflect a cautious faith in the system rather than an unqualified trust in the people's ethics.