So few people dress in business suits these days that they really stand out from the crowd. Whenever I see somebody in a full suit on an airplane, I'm thinking he's either a salesman or a government worker. Just about everybody else in business has the business casual look (dockers, alligator shirts) and the rest of the passengers just look like, well, slobs.
I don't even see the purpose of wearing a business suit on a plane even if you are going to a business meeting. All that is going to happen on the plane is that you are going to wrinkle the suit. Better to just wear a T-Shirt and shorts on the flight and be comfortable while keeping your suit and pants in a bag. Then when the plane lands, change to the suit in the restroom at the airport.