Question

How did the writtings of John Locke and baron de montesquieu influence ideas about government in what became with the united states

Answer 1

John Locke's writings(Two Treatises of Government) are of Natural Rights (Life, Liberty and Property) and how its the governments job to protect those rights.

if a government cannot or does not do so, then under his philosophy the people has the right to overthrow the government. (This idea is called "Consent of Governed")
This is shown in the lines Declaration of Independence of "We the People".

Montesquieu's Spirit of Laws advocates for checks and balances in the government and dividing power among branches of the government.

Answer 2

John Locke was a political philosopher who wrote on the necessity of the separation of powers in government as well as the necessity of revolution in overthrowing unjust government. These two values had an enormous impact on both the Declaration of Independence and also the American Constitution. Montesquieu was also an important philosophical thinker who wrote on the value in the separation of powers between the executive, legislative, and judiciary. In addition Montesquieu believed in the creation of a system of checks and balances between the branches of government which also greatly influenced the writing of the American Constitution and the creation of the U.S. Government.