The central theme of Andrew Jackson’s campaign in the 1828 elections was that he would fight for the "common man," since he was running against "big business" and the banks that were thought to be hurting the lives of "average" Americans.
Reason they would support the Vietnam war is to support President Truman use of containment. Which was to limit the spread of communism throughout the world.
A reason not to go to war is the fear of being drafted which was common during the Vietnam War.