People roast and eat wild rodents like rats as “bush meat” but to my knowledge they don’t eat mice. If we had a plague of mice we would certainly find a way to utilize them.
Separating the digestive system from all those little bodies would be tedious for not a whole lot of gain, a few tens of grams of muscle meat and organs per mouse.
On the TV show "Alive," people were occasionally trapping mice and eating them, and the show would show trivia like how many calories were in the food.
I think it was worth something like 30 calories for a mouse. Virtually nothing.