The correct meaning of the preamble's phrase "establish justice, insure domestic tranquility" is to create a system of laws for internal peace.
The preamble is a paragraph that introduces the US Constitution. It does not establish rights, laws, or define a government system. It expresses the intentions, values, and spirit of the Founding fathers that inspired the Constitution, and under which the Supreme law must be interpreted.
In the quoted phrase of the preamble, we can see the Founding fathers' values of justice and peace. Although it is not established in this introduction, as the first law, the Constitution sets the basis of American laws and judiciary power, with the intention of guaranteeing peace, justice, and order within the country.
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