I don't think using your passport will draw any additional attention if you are traveling to/from common international gateways.
When I'm flying internationally from LAX, I usually use my passport as it's already in my hand versus pulling my driver's license out of my wallet. I also see plenty of folks with passports - even though the majority of the flights are domestic.
I don't think you'd have an issue with LIH or SEA. Hey, there are always the occasional posts where people ask if they need a passport for Hawaii :-0