In a large mixing bowl, combine the lime juice, vinegar, mayonnaise, chili powder, salt, cayenne pepper, Dijon mustard, chives, and diced shallot.
Add the cooked and dried potatoes, charred corn, and sliced radishes to the bowl.
Gently mix all the ingredients together.
Refrigerate the salad for a few hours to allow the flavors to develop.
Before serving, top with additional cotija cheese.
