The president thinks the public was wrong, not that he must correct his course.
Two schools of governance collide here. One says that the officeholder must do what he or she thinks is right, and take the consequences if it does not work or the public does not like it. The other school thinks that the politician must ascertain what the majority of the electorate wants, and then strive to achieve that.
President Obama is the former type, and he avoided the consequences because he was not up for election. Nevertheless, the public sent him a message as to its concerns and desires. He will ignore it at his political peril.