1. Combine lettuce and arugula in a large glass serving bowl. Arrange onion over greens in an even layer; top with tomatoes. Sprinkle eggs over tomatoes; sprinkle bacon over eggs. Spread peas evenly over bacon.
2. Combine mayonnaise and next 10 ingredients (through garlic) in a medium bowl. Spread mayonnaise mixture over peas; top with cheese and chives.