Final answer:
Public support dissolved the fastest during the Vietnam War, particularly after the Tet Offensive, markedly different from the public support during the Persian Gulf War.
Step-by-step explanation:
Public Support Dissolution in the Vietnam War
The war in which public support dissolved the fastest was B) The Vietnam War. This conflict was marked by a rapid decline in public support, partly due to media coverage bringing the harsh realities of war into American homes. A pivotal moment that fueled public doubt about the winnability of this war was D) the Tet Offensive, a series of surprise attacks by the Viet Cong and North Vietnamese forces during the Vietnamese Lunar New Year (Tet). The Tet Offensive contradicted optimistic statements from the U.S. government about the war's progress, thus deeply eroding the public’s trust and support.
Woodrow Wilson hoped to shape World War I into the 'war to end all wars', envisaging lasting peace. Yet, the aftermath of World War I saw numerous changes in geopolitics but failed to bring the envisioned lasting peace, leading to World War II. During the Persian Gulf War, initial support for U.S. involvement was significant, contrasting with the more divided opinions seen during the Vietnam War era.