Final answer:
The disbanding of American legislatures pushed the colonies towards independence, leading to the creation of new, republican state governments based on public consent and laying the groundwork for the U.S. Constitution.
Step-by-step explanation:
The disbanding of American legislatures had a significant impact on the American colonies, leading to an increased impetus for independence. Before being disbanded, the Continental Congress experienced discussions about the relationship between the colonies and Great Britain, considering proposals like Joseph Galloway's which was rejected in favor of more independent thinking. After the disbanding, and the subsequent events at Lexington and Concord marking the onset of armed conflict, the colonies transitioned into independent republics, and the Continental Congress urged states to create new governments. This transition was crucial for the formation of republican governments based on the consent of the governed, the drafting of state constitutions, and eventually influenced the drafting of the national constitution.