Preheat the oven to 350°F. Cut the tortillas into bite-size triangles. Place tortilla triangles on a baking sheet lined with parchment paper, and bake for 10 to 15 minutes, until crisp.
In a blender, combine cashews, tahini, roasted red pepper, nutritional yeast, tamari, lemon zest and juice, cayenne, and water. Blend on high until smooth, and set aside.
In a medium saucepan over medium heat, combine the beans, salsa, and chili powder, and stir gently. Once the beans are smooth warmed through, turn off heat.
To assemble nachos-style: Place the baked chips on a platter, then top each with some of the beans and cheese sauce. Garnish with avocado, salsa, and cilantro.
To assemble as a layered dip: Layer the cheese sauce over the bean mixture in a shallow bowl or baking dish, and garnish with avocado, salsa, and cilantro. Serve with the baked tortilla chips for dipping.