The basic conflict between conservatives and leftists is one of morality. Conservatives believe that there are absolute moral principles which cannot be violated without consequences. Leftists believe that all morality is subjective. So the responsibility for one's actions (moral choices) are also subjective.
This disagreement would be of little concern to conservatives who fully understand that consequences can be the best instructors of the ignorant. The problem arises when leftist wish to transfer the consequences of their foolishess to everyone (or innocent children) in the society.