Joseph McMinn's foundational background is marked by his early life in rural Pennsylvania, where he was raised in a large family with limited formal education. He served in the Continental Army during the American Revolution and later relocated to Hawkins County, Tennessee. McMinn held various public offices, including justice of the peace and territorial militia officer, before representing Hawkins County in the territorial legislature. His career included significant roles in drafting Tennessee's state constitution and serving multiple terms in the state senate, culminating in his election as governor. During his governorship, he focused on peaceful relations with Native Americans and negotiated key treaties. Post-governorship, he established a state bank and engaged in federal government work.

Joseph McMinn’s political identity is marked by an unusual blend of Quaker-rooted pacifism and pragmatic statecraft aimed at facilitating westward expansion. His legislative focus on peaceful Native American relations contrasts sharply with the aggressive expansionist rhetoric of the era. McMinn's establishment of a state bank to support economic development reveals an ideological agility that balances regional growth with fiscal conservatism.