Press tofu: Rinse the tofu with water and place a couple kitchen towels on the counter. Wrap the tofu with another towel, place another towel on top, and finally place several heavy cookbooks on top. Let sit for at least 20 minutes to soak out the water. Alternatively, you can use a tofu press if you have one.
Meanwhile, heat a large skillet with 1 tsp oil over medium heat. Sauté garlic and onion for a few minutes over medium heat. Add in the diced potato and mushrooms and sauté for 12 minutes, reducing heat if necessary and stirring frequently so it does not stick to the bottom.
Remove tofu from towels and dice on chopping board. You want the tofu very small. Now, reduce heat to low and stir in the nutritional yeast, tofu, fresh herbs, lemon juice, and season with salt and pepper to taste. Continue cooking on low until potato is cooked through, only a few more minutes, if necessary.
Add 3/4 cup of the mixture on a large tortilla wrap, spoon on salsa, and top with Daiya cheese and chopped green onion if desired.