Final answer:
Cultural exchange programs are the most likely foreign policy action to promote American values, as they encourage mutual understanding and align with post-World War II internationalism.
Step-by-step explanation:
The foreign policy action that would most likely result from the goal of promoting American values is cultural exchange programs to foster mutual understanding. These programs are designed to share American culture, values, and ideas with people from other countries, which can lead to a better understanding and appreciation of American values such as democracy, freedom, and human rights.
This approach aligns with the concept of internationalism, which has been a dominant vision in U.S. foreign policy since World War II. Cultural exchange is a peaceful way to promote values and stands in contrast to more forceful methods such as economic sanctions, military intervention, or isolationist policies, which are less focused on mutual understanding.