Police in the area chased both cars, stopping one. Three people ran away but were found and arrested by police dog handlers.
The driver of the second car allegedly tried to run down two police officers before driving the wrong way down the Northern Motorway near Constellation Drive.
The car continued in the wrong direction along the Upper Harbour Highway.
McNeill said their actions put other drivers and police in "significant danger".
The car was eventually stopped by using spikes and the three occupants were arrested.
Six people aged between 15 and 17 appeared in the North Shore Youth Court yesterday afternoon on a number of charges.