In a large bowl, combine the romaine lettuce, Belgian endive, red onion, baby arugula and cherry tomatoes, and half of the cheese. Toss the salad with enough vinaigrette to coat. Season the salad with salt and pepper, to taste. Arrange the salad on a platter.
Cut the steaks crosswise into thin slices. Arrange the steak slices atop the salad and sprinkle with the remaining cheese. Drizzle more vinaigrette over the steak slices and serve.
For the Vinaigrette:
Mix the vinegar, lemon juice, honey, salt, and pepper in a blender. With the machine running, gradually blend in the oil.