Combine the shredded cabbage, grated carrots, vinegar, and salt in a medium bowl. Toss everything thoroughly until evenly coated. Allow the mixture to sit at room temperature for at least 20 minutes. The vegetables will soften slightly while developing a tangy flavor. Stir occasionally during the resting period. This helps the cabbage absorb the pickling liquid evenly.
Heat your grill to high heat, around 475°F to 500°F. A hot grill creates a beautiful sear on the steak. Lightly oil the grill grates using a paper towel and tongs. This helps prevent sticking during cooking. Avoid using too much oil because excessive oil can cause flare-ups on the grill.
Pat the ribeye steaks dry using paper towels. Removing moisture helps achieve better browning. Season both sides generously with kosher salt and black pepper. The simple seasoning allows the beef flavor to shine. Let the steaks sit for a few minutes while the grill finishes heating.
Place the steaks on the hot grill and close the lid. Cook for about 4 to 5 minutes on each side. Adjust the cooking time depending on your preferred level of doneness. Medium-rare works especially well for tacos. Transfer the cooked steaks to a cutting board and let them rest for 5 to 10 minutes.
Place a griddle or grill-safe flat surface over medium-high heat. Allow it to become very hot before adding cheese. Sprinkle a layer of shredded Monterey Jack cheese onto the hot surface in a circle matching the tortilla size. Once the cheese begins bubbling and turning golden, place a tortilla directly on top and gently press it down.
Cook the tortilla for 1 to 2 minutes until the cheese develops a deep golden crust. Carefully slide a spatula underneath and lift the tortilla. The crispy cheese should be attached firmly to the tortilla. Transfer to a plate with the cheese side facing up and repeat with the remaining tortillas.
After resting, cut the ribeye into small bite-sized cubes. This makes the tacos easier to eat. The steak should remain juicy and tender inside. Avoid cutting too early or the juices may escape. Keep the steak warm while preparing the final assembly.
Place a generous portion of ribeye onto each crispy cheese tortilla. Spread it evenly across the center. Add a scoop of quick-pickled cabbage followed by diced white onion and chopped cilantro. Finish with a squeeze of fresh lime juice and a drizzle of creamy jalapeño hot sauce.
These tacos are best enjoyed right away while the tortillas remain crispy. Arrange them on a serving platter with extra lime wedges and hot sauce. Serve hot and enjoy every flavorful bite.