That system that Chief Joseph is talking about is Indian reservations.
Indian reservations were areas designated by the government for the resettlement of Indigenous people. This usually meant that more desirable areas were taken from the indigenous population to be used by white settlers, whereas the population was relocated to less desirable land. Chief Joseph, the leader of a band of Nez Perce refused this relocation and was pursued by the government during the Nez Perce War. He despised the reservation system, and he argued that the Indigenous people that were relocated would never thrive. He claimed that humans need liberty of movement in order to feel happy and have a good life.
Soldiers generally have to endure more than the average person. They experience violence, tragedy, and death firsthand in the battlefield or in combat. Soldiers are often also known for being selfless and putting others first and trying to save others lives before their own. So to say "Soldier's Heart" means that someone is a hardened, but good person.
If you are not interested in a topic say political issues, you will just say what you catch here and there from friends, TV, family, and radio. You wont study it to tell what you really think.