You have no reason to call this family liberal. It makes no difference even if they are because they have a right visit any restaurant in OUR country without having to endure a racist beatdown.
I know this neighborhood well. I grew up there and go back frequently. This is a virtually all white middle class section of Dearborn’s west end. This Chuckie Cheese is frequented by all races and classes. If the story didn’t mention anyone’s race, then for all I know it could have been a hillbilly dust up.