Questions: Disagreements among senators and representatives in the John Q. Adams administration dealt with what issue?

The answer is the construction of the Constitution.

During the John Quincy Adams administration (1825-1829), one of the significant issues that caused disagreements among senators and representatives was related to the interpretation and construction of the Constitution. This period was marked by debates over states' rights versus federal authority, economic policies, and internal improvements, which all hinged on constitutional interpretations.

There were no major national crises or significant legislative debates specifically focused on the nation's food supply during John Quincy Adams' presidency. This option is not relevant to the primary issues of the time.

The question of Hawaiian independence was not a significant issue during the John Quincy Adams administration. Hawaii did not become a significant focus of U.S. foreign policy until much later in the 19th century.

There was no invasion of Haiti during the John Quincy Adams administration, and it was not a topic of significant debate among U.S. senators and representatives at that time.