Add tomatoes; bring to a simmer. Cook for 15 minutes or until thickened.
Remove from heat; stir in 1/3 cup basil.
Cool squash at room temperature for 10 minutes or until cool enough to handle. Scrape inside of squash with a fork to remove spaghetti-like strands to measure about 5 cups. Divide squash evenly among 6 plates; top each serving with about 1/3 cup sauce and 1 tablespoon cheese. Top with remaining basil.