To what extent is polks argument based on the jeffersonian ideals of inalienable rights

The U.S. nearly doubled its land size in a span of about five decades. Not only did the area increase, but it also led to a surge in bureaucratic challenges associated with territorial expansion due to two major acquisitions: one by Thomas Jefferson in 1803 and another by James K. Polk in 1848. At that time, Jefferson faced many difficulties in governing such an extensive area but managed to turn the Louisiana Purchase into a remarkable success for the nation. Conversely, Polk obtained land through questionable means and ignored the devastating civil conflict that would eventually engulf the country. The contrasting leadership styles are illustrated in the U.S.'s significant territorial growth, with Jefferson displaying skilled and courageous leadership compared to Polk's impulsive and careless actions.