Perfect Self (Ex): At 20th level, a monk becomes a magical creature and her type changes to outsider. When targeted by spells and magical effects that consider her type, she may choose whether to be considered an outsider or a member of her former type, whichever is most advantageous. Additionally, the monk gains damage reduction 15/lawful. Unlike other outsiders, the monk can still be brought back from the dead as if she were a member of her previous creature type.
...shouldn't this be chaotic just for the lawful example monk?

Also: Any reason why it isn't full BAB?