Does a police officer need to develop his suspicion that defendant was falsely identified as a suspect in a traffic stop?

Defendant does not dispute the legitimate basis for the traffic stop. In his version of the facts, however, he contends the officer did not develop his suspicion that defendant was falsely identifying himself until after the officer had prolonged the traffic stop beyond the scope of performing the duties connected with the circumstances that had justified it, in violation of the holdings in People v. McGaughran (1979) 25 Cal.3d 577, 584, 586, 587 and Williams v. Superior Court (1985) 168 Cal.App.3d 349, 358-359.

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