Preheat oven to 450 degrees F (230 degrees C). Line a cookie sheet with foil, and spray with non-stick cooking spray.
In a medium bowl toss the red bell pepper, yellow bell pepper, zucchinit, and squash with 2 tablespoons of the olive oil, salt, and pepper. Arrange on the prepared cookie sheet.
Bake vegetables 25 minutes in the preheated oven, tossing occasionally, until lightly browned.
In a large pot of salted boiling water, cook pasta 10 to 12 minutes, until al dente, and drain.
Drain the softened sun-dried tomatoes and reserve the water. In a large bowl, toss together the roasted vegetables, cooked pasta, arugula, and basil. Mix in remaining olive oil, balsamic vinegar, garlic,pepper flakes and feta cheese; toss to coat. Season with salt and pepper to taste. Serve immediately, or refrigerate until chilled.