Stupidity: Mike Roark is supposed to be the director of an agency that is in charge of coordinating all the resources of the city in the event of a natural disaster, but he doesn't know what a "geological event" is, not to mention magma?
Stupidity: Red and his gang have a barn full of stuff and talk about other couples and people they have kidnapped, robbed and probably killed. This indicates they have been in the "game" for a long time and been successful to avoid capture this long yet when Kurt Russell didn't want to get in the car, instead of cutting their losses, they went along with kidnapping his wife and initiating the whole ruse of her never getting in Reds truck which is what led to their downfall. Someone with the experience of this that Red has should know not to take such a big risk with a complicated story.
Stupidity: The first time they see the bad guy in the Land Rover, Morgan has him in his sights but can't shoot, as he doesn't want to kill him. Clearly, the obvious thing to do is to shoot the car tires, but he doesn't and lets him drive off.
Suggested correction: Shooting out car tires is not an actual effective strategy to get a vehicle to stop. A 9mm bullet simply doesn't cause enough damage to a tire to get it to go flat immediately. It causes similar damage as running over a nail. It is a movie cliche, similar to using a gun to shoot out a lock or a rope, it just doesn't happen in real life.
Stupidity: Anyone with a job in the White House would have to be known to the Secret Service on a daily basis, so the two Secret Service agents that find Cory the janitor should have been aware of his identity without him having to state who he was and that he worked there.