Justin Bieber -- Miami Beach Cops Subpoena TMZ 'Drag Racing' Video

Miami Beach cops have subpoenaed video TMZ posted which they believe might show Justin Bieber was drag racing, but it seems the cops are barking up the wrong tree.

The subpoena seeks "All videos related to the drag racing incident involving Justin Bieber on January 23, 2014 on Miami Beach, Florida."

Here's the problem. The videos we posted do NOT show a drag race on Pine Tree Street ... as the cops described in their police report.

Furthermore, our videos -- all shot before Justin and Khalil turned onto Pine Tree -- do NOT show them drag racing at any point.

One video (above) shows Justin leaving the club in his rented yellow Lambo, revving the engine and leaving quickly ... but Khalil and his red Ferrari are nowhere in sight.

TMZ broke the story ... the GPS device on the Lambo shows one of the cars clocked at a maximum speed of 52 MPH and the other 47 MPH ... and that was only as they left the club. Both drivers slowed down and in the middle of the alleged drag race they were actually traveling BELOW the speed limit -- 27 MPH.

The other 2 videos show the Lambo at a stand still -- In one he's sitting in the car outside the club as fans come up to speak with him. In the other, Justin's already been pulled over.

We're assuming cops want our video to help justify the traffic stop ... which is interesting.