Cut steaks lengthwise in 1/2. Then up crosswise into 1-inch strips.
Pour olive oil in non-stick skillet. Place skillet over medium-high.
When oil is hot and shimmering, add 1/2 of the steak strips and 1/2 of the garlic. Stir-fry 1 - 2 minutes until outside surface of steak is no longer pink.
Remove from skillet to a bowl.
Repeat with remaining steak and garlic.
Season steak with 2 tablespoons soy sauce and pepper. Mix well.
Place skillet back on heat and reduce heat to medium.
Add 2 teaspoons oil to pan (if needed), and stir-fry onion 5 minutes.
Add mushrooms. Cooking 2 - 3 minutes until soft and tender.
Add red pepper, wine and remaining 1 tablespoon soy sauce. Increase heat slightly and bring mixture to a boil. Immediately reduce heat.
Return beef to skillet. Stir to mix. Cook until just heated through.
Place roll bottoms on a cookie sheet with tops next to bottoms cut side up.
Pile prepared beef mixture onto bottoms of rolls.
Top each with 2 slices cheese (Of slice of each cheese, if using a combination).
Place cookie sheet into an oven set to broil. Broil just until cheese is melted and inside tops are lightly toasted. Watch carefully. Do not burn.
Place bottoms of rolls on a serving platter or individual serving plates. Place tops onto bottoms.
Serve warm.