The way I see it, the polar alignments are actually similar to their polar opposite, the difference being motivation:
I'll give some illustrations:
First up, Chaotic Good and Lawful Evil
A Chaotic Good wizard king holds audience with 2 elders from two of his subject towns. These towns are having a major land/resource dispute.
The wizard king, knowing that these towns have had many other minor disputes, decides that they can not be allowed to remain together. So he teleports the towns to new locations much like their old one, except far away from each other on the edges of his kingdom. They won't be having land disputes anymore.
Now, assume the same situation, except that the wizard king in question is Lawful Evil.
The Lawful evil wizard king teleports the towns to new locations far away from each other, except that the new locations are very harsh enviroments; the townsfolk will have to work hard to survive; they won't have time to have land disputes with anyone.
Next: Lawful Good and Chaotic Evil:
A lawful good knight has an heirloom of great worth stolen from him. He travels across the lands to retrieve it, because justice must be served.
Along the way he finds that others have had things stolen from them by the same antagonist. He decides to get those things back for their owners too, thus building his reputation for honour. He also gains some companions by doing some other good things along the way.
A chaotic evil mercenary has an heirloom sword stolen from him. He travels across the lands to retrieve it, because nobody steals from him and gets away with it: He has a reputation to maintain.
Along the way he finds that others have had things stolen from them by the same antagonist. He kills them and decides to take their things for himself when he finds the antagonist. He also gains some powerful items by killing their owners along the way.
Neither is "better". Lawful good is not Good+
I'll give some illustrations:
First up, Chaotic Good and Lawful Evil
A Chaotic Good wizard king holds audience with 2 elders from two of his subject towns. These towns are having a major land/resource dispute.
The wizard king, knowing that these towns have had many other minor disputes, decides that they can not be allowed to remain together. So he teleports the towns to new locations much like their old one, except far away from each other on the edges of his kingdom. They won't be having land disputes anymore.
Now, assume the same situation, except that the wizard king in question is Lawful Evil.
The Lawful evil wizard king teleports the towns to new locations far away from each other, except that the new locations are very harsh enviroments; the townsfolk will have to work hard to survive; they won't have time to have land disputes with anyone.
Next: Lawful Good and Chaotic Evil:
A lawful good knight has an heirloom of great worth stolen from him. He travels across the lands to retrieve it, because justice must be served.
Along the way he finds that others have had things stolen from them by the same antagonist. He decides to get those things back for their owners too, thus building his reputation for honour. He also gains some companions by doing some other good things along the way.
A chaotic evil mercenary has an heirloom sword stolen from him. He travels across the lands to retrieve it, because nobody steals from him and gets away with it: He has a reputation to maintain.
Along the way he finds that others have had things stolen from them by the same antagonist. He kills them and decides to take their things for himself when he finds the antagonist. He also gains some powerful items by killing their owners along the way.
Neither is "better". Lawful good is not Good+