In A Quiet Place, the characters are always barefoot. Why can't they wear soft soled shoes? It seems dangerous to be barefoot (you could step on a nail sticking out of a step), and it would get too cold. The characters are wearing sweaters, so it must be cold outside.
Shoes make more noise than you think. Leather shoes tend to creak when you walk, as the leather expands when you're on the balls of your feet. Sneakers, on certain surfaces like hardwood floors, screech if you halt your step (ever listen to a Basketball game?). Bare feet also give you better traction and a better feel for your surroundings. In short, there are a multitude of reasons why you shouldn't wear shoes under conditions where the slightest noise could get you killed.
I don't disagree that possibly some sort of moccasin could be advantageous, but for some unknown reason the family the story revolved around opted to simply go barefoot.