Combine the mayonnaise and roasted red peppers in a food processor. Blend until smooth. Set aside.
Rinse and dry the kale. Boil a large pot of water and set up a large bowl of ice water. Place the kale into the boiling water for 1-2 minutes. Remove and plunge immediately into the bowl of ice water until cool. Drain.
Heat 1/2 Tbsp. oil in a large skillet. Add the garlic and cook for 1 minute. Add the kale and red pepper flakes and saute until wilted, about 2 minutes. Set aside.
Using a sharp knife, slice the chicken breasts crosswise so that you have 4-5 thinner pieces. Place between two pieces of plastic wrap. Pound thin using a mallet. (Omit this step if you don't have a mallet.)
Heat remaining oil in the skillet over medium-low. Pour flour into a shallow bowl, then beaten egg into a second bowl and bread crumbs into a third bowl. Dredge each chicken breast in flour, then beaten egg mixture, then breadcrumbs. Place into the skillet. Cook until golden on each side, flipping after 6-7 minutes. Do not crowd the pan. Repeat the process with remaining cutlets.
Remove from the pan to cool on a wire rack.
Grate the cheese and sprinkle over the chicken cutlets. Place the cutlets onto a baking sheet. Warm in a 400 degree oven for 5 minutes, to melt the cheese.
Slice the loaf of ciabatta crosswise. Spread with the roasted red pepper mayo. Layer on the chicken and wilted greens. Slice into four sandwiches.