How did liberty and rebellion come to shape the new nation?

I am assuming that this question refers to the United States. The United States was founded in rebellion. The colonists used to their own self-rule during Britain's longstanding policy of salutary neglect and rebelled when Parliament started to enforce its own taxation laws after the French and Indian War. The colonists saw this as a sudden intrusion on their own rights. When Parliament started to use force to collect tax money, the colonists fought and won the Revolutionary War, thus creating a new nation.
Since this period, Americans identified with seeking liberty and fighting against authority. American colonists moved west looking for liberty in opportunity, infringing on Native American lands and murdering many in the process. Mexico originally welcomed Texan colonists—until these colonists started to rebel against Mexican authority. These rebellions would ultimately become successful, thus creating the short-lived Lone Star Republic in 1836.
Americans have also tied the search for liberty to various causes. "Liberty" was the byword of the abolitionist movement, and some, such as Nat Turner and John Brown, sought this liberty through armed rebellion. Eighteen-year-old American males resisted the draft and rebelled by avoiding the draft to fight in the Vietnam War. Out of this rebellion came a constitutional amendment giving anyone over the age of eighteen the right to vote. The women's movement also cited the ideal of "liberty for all" to secure the right to vote and equality in the workforce. Liberty and rebellion are tied together in the American mind and continue to be two driving factors in securing rights and opportunity for many.