Yeah, seems like a bit of overkill. I don't know if cargo and/or corporate flight operations are still allowed to operate, as they are no where near the airline terminal complex.
All streets to LAX have been closed including all the exits off of the 405 Freeway near LAX. Talk about a traffic jam. It will take hours, if not until tomorrow for things to return to normal.
Shooter it is now being reported, was shot by police in the terminal, was wounded and taken into custody. Via NBC News.
Now live shots of the LAX complex shows aircraft taxing to the runways, taking off and aircraft taxing to the terminal complex. So there are some operations ongoing.