Use a vegetable peeler to peel long thin strips of the asparagus and zucchini.
For dressing, add the lemon juice into a medium sized bowl and slowly drizzle in the oil while whisking continuously until emulsified. Stir in remaining ingredients. Add shaved veggies, tossing gently to coat. Let sit for 15 minutes, to allow the veggies to soak up some of the dressing (this will make them even more flavorful).
In a large bowl combine all salad ingredients and gently toss with dressing.
Add remaining salad ingredients, tossing gently to combine.