WMG: Mars Attacks!

The Professor Kessler was actually totally right about the Martians having telepathy
They may not even know they have it - but it can't project communication, only motivations for the Rule of Funny. Whenever Martian leaders or officers are planning a trick, their grunt soldiers are automatically in on what's about to progress and act accordingly. For instance: At the end when the Martian leader looks like he's about to strike a deal with the president, the grunts look confused - but they don't blast their leader for treason or anything - they're just acting along with the ruse to convince the president that the Martian leader is serious.

This is how Taffy survived the attack on the White House.
She was rescued by Byron's sons and hid at their apartment.

It's Spring Break on Mars.
Really, the whole invasion was the Martian equivalent of a long drunken weekend. Only with blasters and bombs rather than babes and bongs.

The aliens that inspired the Moai statues will not be happy to learn that the Martians knock them down.