The experiences and perspectives of Native Americans affected their participation in war in many ways.
In the first place, they were often treated as second-class citizens by the U.S. government and military. They were not allowed to enlist in the military until the early 20th century, when they were finally granted citizenship. Even then, they had to fight for their rights as soldiers: it was not until 1916 that Congress agreed to allow Native American soldiers to wear their traditional uniforms while serving in the army. This is an example of how even after gaining citizenship and joining the military, Native Americans still faced discrimination from the U.S.'s leadership.
Another way that these experiences affected Native American participation was by creating a sense of distrust between them and the U.S., which made it harder for them to form alliances with other groups during wartime. For example, when General George Custer led his troops into battle against Chief Sitting Bull's Sioux tribe at Little Big Horn River on June 25th 1876, he believed that he would easily defeat them because they had been fighting amongst themselves since losing their land through treaties signed by President Grant's administration (1872).
(Next time be sure to specify which war)