No they didn't. They thought that America would fall with the Monroe Doctrine.
Your question did not specify any countries, but the Monroe Doctrine sought to put all of the Western Hemisphere off limits to European political or military activity.
Not exactly. While both France and England initially had navies that were superior to America's, they were both allies of the United States - and were allowed to trade in the Caribbean without fear of paying expensive taxes or tribute. Thus the value of 'free trade' is that all benefit by trade, enabling them to spend on other items the government finds important. Also note both the English, French, and Dutch still owned islands in the Caribbean, so if these countries honored the Monroe Doctrine, then they had no need to send ships and men to protect them, as they were already under America's watchful eye.
Germany
The US gave military aid to countries in the fight against the spread of Communist under the Truman Doctrine. The first countries to receive aid under the Truman Doctrine were Greece and Turkey.
Under the Truman Doctrine, the U.S. offered military aid to countries such as Greece and Turkey that were fighting communism inside their borders.
The European incentives for the conquest of the Americas were largely driven by the lure of wealth and power. European powers were primarily motivated by economic gain religious conversion and a desire for political and military domination. Economic gain: The discovery of the Americas had the potential to bring great wealth to the Europeans. Explorers were seeking gold silver and other valuable resources to bring back to Europe. Religious conversion: Many Europeans saw the conquest of the Americas as an opportunity to spread Christianity throughout the New World. Political and military domination: European nations sought to extend their political and military control over the Americas as well as to gain access to new trade routes and markets. These incentives were a major factor in the European conquest of the Americas and ultimately led to the colonization of the New World by European powers.
I doubt there's a common "military goal" for all the countries in Europe.
Under the Truman Doctrine, the U.S. offered military aid to countries such as Greece and Turkey that were fighting communism inside their borders.
Russia, France and United Kingdom.
European countries gained military assistance and geographical diversity.
There isn't a European Army. Europe is composed of several countries, each with its own military. Weapons and other military equipment in service varies between the countries which make up Europe.
Americas Military Cup was created in 2001.