They have seen the great progress we have made as a union and wish to see that as in their own countries
Imperialism occurs when a state government tries to exert power over a territory that does not belong to the country. This can happen directly, by territorial acquisition, or indirectly, by economic or political influence.
The United States should not engage in imperialism, because the benefits are always one-sided. While the U. S. might benefit, the other country is unlikley to do so. Moreover, if the reason for taking over the territory is out of humanitarian concern, there are many measures that the government can take before resorting to imperialism.
Feudalism was a popular societal structure in Europe during the Middle Ages (between the 9th and 15th centuries), which arose in response to the state of chaos which had befallen Western Europe for centuries after the fall of the Western Roman Empire in 476 C.E. In fear of raids on the lower class (which made up the majority of the European population at the time), the feudal system, a system of land ownership and duties, was developed. Based on the exchange of land for military service, it demanded that everyone owed allegiance to the king and their superiors. In other words, the nobles pledged their support to their king both financially and militarily in exchange for land and prestige. In turn, the nobles ensured their lands would be protected by promising knights (vassals), small portions of their land in exchange for fealty. This phenomenon was known as "fief" and was a big part of feudalism. Finally, the knights and vassals would allow peasants (serfs) to live on their lands in exchange for food and other services, thus completing what is often known as the feudal pyramid.
Well good luck getting help with that.