American abolitionists did not support the American-Mexican war because they did not wanted slavery to extend to new areas of the United States.
Step-by-step explanation:
American abolitionists attacked the war as an attempt by slave-owners to strengthen the grip of slavery and thus ensure their continued influence in the government. It was predicted that, "The United States will conquer Mexico, but it will be as a man who swallowed the arsenic which brings him down in turn. Mexico will poison us."
The expansion of slavery in the lands seized from Mexico fueled the drift to civil war just a dozen years later. Prominent artists and writers like Transcendentalist writers, Henry David Thoreau and Ralph Waldo Emerson opposed the war. Also an essay now known as Civil Disobedience was written in this regard.