Prepare the ingredients by slicing the ribeye steak as thinly as possible against the grain. Slice the onion, green bell peppers, and poblano pepper.
Make the spiced mayonnaise by combining the mayonnaise, 1 tablespoon of Dijon mustard, and a dash of hot sauce. Mix well and set aside.
Cook the vegetables in a large skillet with olive oil over medium heat. Add sliced onions and cook for about 3-4 minutes until translucent. Add the green and poblano peppers, seasoning with salt, pepper, garlic powder, onion powder, dried thyme, and dried parsley. Sauté for another 5-7 minutes until tender and caramelized. Remove from skillet and set aside.
Sear the steak in the same skillet over high heat with additional olive oil if necessary for about 2-3 minutes until browned and cooked to preference.
Combine everything by returning the sautéed vegetables to the skillet with the steak. Pour in balsamic vinegar, Worcestershire sauce, and reserved spiced mayonnaise, stirring to combine. Cook for another 2 minutes.
Add the cheeses over the mixture, cover with a lid for 1-2 minutes until melted.
Toast the hoagie rolls lightly under a broiler or in a toaster oven until golden and crispy.
Assemble the sandwiches by scooping generous portions of the cheesesteak mixture into each hoagie roll. Drizzle with additional hot sauce if desired and serve immediately.