Surveillance video (above) shows one of the tires flying through the air into a front window at the AutoSport store just after 7:30 p.m. Sunday.
Soon after, the pickup driver rushes into the frame, retrieving the wheel from outside Salvatore Marsilla's auto body and detailing shop.
USR and Ramsey police also responded to a pair of crashes caused by the other wheel.
No one was seriously injured, Upper Saddle River Detective Lt. Edward Kane said.
Anyone who sees the truck or the driver -- or has information that can help authorities find either -- is asked to contact either Upper Saddle River PD: (201) 327-2700 or Ramsey PD: (201) 327-2400.
Click here to follow Daily Voice Garfield-Lodi and receive free news updates.