Could American trade help secure diplomatic acceptance?

A liberal constitutional settlement is proposed as one way to make the surviving monarchy easier for Washington to accommodate. Purchases of American steam engines and other equipment could create commercial ties. River monitors are offered as another possible purchase for Mexican operations. The expectation is that former supporters of the republic might accept a government willing to conduct business. Survival would still depend on managing Napoleon III's fall, since a successful Mexican intervention is not expected to make France capable of defeating Prussia.