Final answer:
The 1905 policy statement justifies Big Stick Diplomacy, which was part of Theodore Roosevelt's approach to use America's military clout to influence international affairs, especially in the Western Hemisphere.
Step-by-step explanation:
The excerpt in question is meant to justify Option 1: Big Stick Diplomacy. This policy was a significant aspect of President Theodore Roosevelt's foreign policy, encapsulated in the famous saying, “speak softly and carry a big stick; you will go far,” and reflected the United States’ approach of using military strength as a deterrent while striving to maintain peaceful relations.
The Roosevelt Corollary to the Monroe Doctrine expanded upon this by asserting America's role as an “international police power” in the Western Hemisphere, thereby justifying intervention to maintain stability and order, particularly in Latin America. This stood in stark contrast to isolationism, which was a policy of non-engagement with foreign affairs, and to Manifest Destiny and the Open Door Policy, which were more focused on the expansion of American territory and access to international markets, respectively.