impressment
Press or press-gang.
It was called "impressment" and was often done forcibly by groups called "press gangs", leading to the specific synonym "pressganging."
The process forcing people to join the army during World War 1 was called conscription
Forced inscription
England. In the early 1800's, England was involved in a war with France and there was a shortage of manpower in England. So, they resorted to stopping American ships and forcing some of their crews into service with them. This was one of the main causes of the War of 1812 between the U.S. and England.
The practice of capturing sailors and forcing them to serve on a ship from another country is called impressment. This was a common practice during times of war or conflict when one country needed more sailors for their navy.
impressment
Another word for kidnapping and forcing someone to do something is "abduction."
Impressment is forcing American sailors into joining the British Navy.
Closed shop
Pressgang was forcing ordinary people in a port onto a boat to be sailors.
The word you're looking for is "exile." Exile refers to the act of forcing someone to leave their home country and live in another country, often as a punishment or for political reasons. It can also imply a sense of separation from one's family, culture, and homeland.
Featherbedding
Human trafficking is the crime of forcing a person to move to a different country and become a slave and or prostitute.
Not sure if this is specific to modern warfare, it mostly happened in the late 1700s and early 1800s. It is called Impressment.
Pig-headedness. Also known as "democracy", although there is nothing democratic about forcing ones own political system onto another country.
Conservation and restraint.