Bring a large pot of salted water to a boil and set a bowl of ice water nearby. Blanch the asparagus for about 1 minute, until tender but still bright green. Transfer to the ice water for 1 minute, then drain. Allow the asparagus to dry and transfer it back to the bowl and add the peas.
Make the dressing: In a food processor, pulse together the herbs, garlic, lemon juice, zest, vinegar, olive oil, and salt.
Add half of the dressing to the bowl with the asparagus and toss to coat. Season to taste with salt and pepper.
Assemble the salad. Arrange the salad greens on a platter, then layer the asparagus/pea mixture, the radishes, feta, avocado, pistachios, chickpeas, and herbs. Drizzle with remaining dressing, season to taste with more salt and pepper, and serve.