I am not sure if the image is being illuminated by the IR LEDs or the street light. It is possible that the street light is bright enough that the camera is not going in to night vision mode. If you have the non-moving outdoor camera, try extending the sun shade on the top of the unit (it may be hard to move, but it will slide). This may block enough light to enable the IR LEDs.
There are no settings for night vision, so I do not think that you have anything set wrong. Fast moving objects (like the car) will be blurry due to the longer exposure time needed for night time recordings.
What are you trying to record? The IR LED range is limited, so if you are trying to record the gate in the background of the daytime picture, I think that you will improve the image by moving the camera closer to the edge of the roof.
You cannot turn off the IR.