From wiki
The Empire managed to gain recognition by major European powers including Britain, Austria, and Prussia.[3] The United States however, continued to recognize Juárez as the legal president of Mexico. Maximilian never completely defeated the Mexican Republic; Republican forces led by President Benito Juárez continued to be active during Maximilian’s rule. With the end of the American Civil War in 1865, the United States (which had been too distracted by its own civil war to confront the Europeans’ 1861 invasion of what it considered to be its sphere of influence) began more explicit aid of President Juárez’s forces. Matters worsened for Maximilian after the French armies withdrew from Mexico in 1866. His self-declared empire collapsed, and he was captured and executed by the Mexican government in 1867. His wife, Charlotte of Belgium (Carlota), had left for Europe earlier to try to build support for her husband’s regime; after his execution, she suffered an emotional collapse and apparently became insane.[4]
Thank you. That reinforces my point. we would have had a mess.
Regards-