How did the Mexican-American War intensify intersectional conflict?

When the Mexican-American War ended, the United States
received the Mexican Cession which included all of California, Nevada and Utah, and
parts of Arizona, New Mexico, Colorado, and Wyoming.  With this huge land acquisition,
the issue of slavery in the new territories was raised.  This led directly to the
Compromise of 1850.  This compromise deepened the division between the North and the
South.  First, California would be admitted to the Union as a free state, which upset
the South.  Two new territories would be established, Utah and New Mexico.  These
territories would be open to slavery through popular sovereignty, that is, the people of
the territories would decide the issue of slavery.  This upset the people in the North
because so much territory could now have slavery. The slave trade was banned in the
District of Columbia which upset the South because they saw this as a first step towards
abolishing slavery.  There would be a new, strict, fugitive slave law which upset the
North because now by law they had to assist in returning slaves to their owners. These
tensions created by the Compromise of 1850, which was passed because of the results of
the Mexican-American War, helped create the conditions for the Civil
War.