Rabbi Alfredo Borodowski surrendered at police headquarters in White Plains, N.Y., Wednesday to face charges for the incident, which happened in May, WNBC-TV, New York, reported.
Motorist Peter Moses said Borodowski, 49, was following him very closely, "obviously trying to make me go faster" than the 40-mph limit. The rabbi then pulled alongside Moses and shouted "I'm a police officer. Pull over!'" Moses said.
The White Plains incident came to light after Borodowski was arrested in June in Mamaroneck for doing the same thing.
In the Mamaroneck case, Borodowski is accused of pulling his car alongside a woman's car, flashing a badge and shouting: "Police! Police! Pull over!" The woman was following a 20-mph limit in a school zone.
"That girl was driving too slow, and I hate when people do this," Borodowski told police after the Mamaroneck incident.
Borodowski, who grew up in Argentina, has been fired from a position at prestigious Temple Emanu-El in Manhattan.
His lawyer said he suffers from bipolar disorder and recently was hospitalized.
Police said they are investigating a third complaint Borodowski from New York City.