Preheat a grill pan to medium-high. Squeeze the limes over the turkey cutlets; season with salt. Grill the turkey until just cooked through, 3 to 4 minutes per side. Let cool, then slice into 2-inch-long strips.
Preheat the oven to 375 degrees. In a large bowl, combine the onion, the jalapenos with their liquid and the tomatoes. Add the tortilla chips and turkey and toss well. Transfer the mixture to a greased 9-by-12-inch baking dish. Drizzle with the chicken broth and top with the cheese. Bake until the cheese is golden around the edges, about 40 minutes. Serve with the sour cream.