Char the poblano peppers. Oven method: turn on the broiler to 500° and line a pan with tinfoil. Place the chilis on the highest rack under the broiler and broil each side until blackened. Stove top: Place the chilis directly over open flame or on a cast iron pan. Blacken each side of the chili. Place the charred chilis in a resealable bag and steam for 10 minutes, then rub the skins off and remove the seeds and stems. Reserve 2 chilis for frying, then chop the remaining chilis.
Melt the butter in a large saute pan, add the onions and garlic and cook for 4 minutes. Stir in the flour and brown for another minute.
Whisk in the broth, milk and cream. Cook until it thickens slightly, then season with salt and cumin.
Add ½ cup Monterrey Jack cheese and pepper jack and stir until melted.
Cook over medium-low while you make the fried poblano.
Heat the oil in a pan over medium-high heat.
Beat the egg white until stiff peaks form, then sprinkle in the flour and combine.
Beat the egg yolks and baking soda together, then combine with the egg whites.
Cut the chili in half and dredge the chili in the egg coating covering all sides.
Fry the chili in the hot oil for 1 minute, turning halfway through. Place on a paper towel-lined plate. Repeat with the remaining chilis.
Fill an oven bowl with soup, top it with a fried chili. Sprinkle with some cheese.
Place the bowls of soup on a cookie sheet and place under the broiler until the cheese is melted, about 2 to 3 minutes.