There are probably several dozen planes a day that approach the ADIZ
and then turn away. The FAA can't jump everytime a plane turns that
direction. The time it takes from crossing into until over the white
house is very short.
Think of controllers as the guys at the county fare that help direct
cars in the parking lot. They suggest turns to drivers to make things
move more smoothly and prevent cars from fighting over the same space.
However, they DO NOT control the cars themselves and are not the one's
responsible when a driver hits someone.

-Robert, CFI