Cook spaghetti according to package directions. Drain; transfer to a large bowl., Meanwhile, in a large skillet, heat oil over medium-high heat. Add onion, squash, zucchini and garlic; cook and stir until tender. Add tomatoes; heat through. Remove from pan; keep warm., Reduce heat to low. Add eggs to same skillet; cook slowly, stirring constantly, until eggs reach 160° and just begin to coat a metal spoon (eggs will be frothy; do not overcook). Add to hot spaghetti; toss to coat. Add vegetables and remaining ingredients; toss gently to combine.