Following Argentina’s 1982 invasion of the Falkland Islands, the United Kingdom dispatched a naval task force and engaged in weeks of intensive international negotiations. Yet, Prime Minister Margaret Thatcher steadfastly refused to compromise on her core demand for a complete Argentine withdrawal prior to any sovereignty discussions, fully expecting the military junta to reject these terms. This chapter analyzes the conflict as a prime historical example of “insincere coercion” utilized to mobilize the support of a critical ally. To mount a successful brute force campaign 8,000 miles from home, the British military required diplomatic, intelligence, and military assistance from the United States. By participating in multiple peace initiatives brokered by US Secretary of State Alexander Haig and the United Nations, the UK bought precious time for its fleet to deploy while portraying Argentina as the intransigent party. Ultimately, this calculated failure of coercive diplomacy succeeded in its strategic objective: convincing the Reagan administration to abandon neutrality, thereby securing the vital American backing required for British victory.