In a large bowl, massage kale leaves with a pinch of salt and juice of half of a lime, until the leaves soften and wilt, 2 to 3 minutes. Chop leaves finely and set aside.
Place avocado, shallots, jalapeno, and remaining lime juice in a blender or food processor and pulse until finely chopped.
Add chopped kale and process until the ingredients are well combined.
Serve with tortilla chips.