> Some states actually have claims that you must identify yourself when stopped if the police officer asks. Failure to do so can lead to arrest under laws of the state:

This is false. You are misstating or misreading the article. You only must identify yourself (this does not mean you have to carry ID) if you are under a Terry stop and are in a state which has specifically enacted legislation requiring identification during a Terry stop. A Terry stop requires reasonable suspicion a crime has been committed. This is why I specifically and carefully said "you are not required to identify yourself to any police officer just because he asks, and if he asks without reasonable suspicion or probable cause (it depends on the state which one is the threshold), and you refuse to state your name, then he can not arrest you for that sole reason." In states with stop and identify laws that allow for it, he can require you identify yourself given reasonable suspicion of a crime. In other states, he needs probable cause.