Removing them is the idiotic part.
The government employee said it best himself: "At the end of the day, those games are there to entertain kids, probably for a few minutes, while their parents are resting from a long trip."
That is their sole function. Considering the machines have probably been there for a decade, their existence is brief, completely harmless, and brightens the day of a few weary eight year olds who have suffered through a long car ride.
As if video games in a public place do anything but help. It's like removing a vending machine from a public rest stop because lactose-intolerant people MIGHT buy a chocolate bar and get hurt.
I work for a videogame company. My company's income (and my salary) is based on a certain tactical flavor that involves shooting people with H&K rifles.
A kid who walks in to a splash screen of said H&K rifle shooting a polygonal enemy matters. I was that kid once.