Preheat the oven to 400 degrees F.
On a sheet pan, toss the broccolini and zucchini with 1 tablespoon olive oil, 1 teaspoon kosher salt and 1/2 teaspoon black pepper. Spread out the vegetables into a single layer. Roast for 20-25 minutes until the broccolini is crisp at the edges and the zucchini is tender and lightly browned.
While the broccolini and zucchini roast, cook the fusilli in salted boiling water until al dente according to package instructions. Drain and rinse with cold water in a colander.
For the vinaigrette, whisk together the garlic, mustard, 1/2 teaspoon kosher salt and 1/4 teaspoon black pepper, lemon juice and olive oil in a small bowl.
Combine the pasta, roasted broccolini and zucchini, scallions, parsley, chives, feta and walnuts in a large bowl.
Drizzle the vinaigrette into the salad, tossing to combine.
Season to taste with salt and pepper.