Whisk all the sauce ingredients in a bowl until smooth. Refrigerate until ready to use.
Add all the filling ingredients to a large bowl. Drizzle in about ⅓ cup of the sauce and toss everything together.
Lay a lettuce leaf on each tortilla. Add sliced avocado and a generous scoop of the filling. Top with cilantro, a squeeze of lime, and lots of wonton strips. Roll up tightly.
Slice in half and serve with extra sauce for dipping.