Final answer:
President Johnson's refusal to seek reelection reflects the Preamble's intention of preserving liberty and ensuring a regular rotation of public officials, echoing past presidents' commitments to unity and democracy.
Step-by-step explanation:
President Lyndon B. Johnson's statement “I shall not seek, and I will not accept, the nomination of my party for another term as your president” reflects the intention of the Preamble to ensure the regular rotation of public officials, which aligns with the broader goals of preserving liberty and promoting democracy. This decision was influenced by the growing unpopularity of the Vietnam War and the desire to remove politics from the peace process.
The choice echoes the actions of past presidents like George Washington who chose not to seek reelection in order to maintain national unity and denounce partisanship, suggesting a commitment to the Preamble's intention to “secure the blessings of liberty for ourselves and our posterity.”