So I heated up, like, an inch of veggie oil and mushed the mashed potatoes into three little paddies like felafels, and fried them for a minute or two on each side until they were this lovely golden color just sort of too dark. While they were draining, I salted them like french fries, and then ate them as-is, right off the paper towel. They were awesome. Like french fries, but softer. I think they'd be great with something yummy inside. I was going to put turkey inside, but I got lazy.
I don't regret it at all.