Well, there are very few folks that fly there, so yes, competition high, very few people have done it or will get to do it. No scheduled airline service... I think the only traffic that flies there is government traffic and VIP charter. You can check out the ANG, I know they bring C-130's on skis down there. In addition, the FAA flies a C601/604 down there occasionally to check the approaches. There is a cool in-cockpit video of them landing on the south pole here: http://www.faa.gov/news/updates/southPoleLandingVid/

Article here: http://www.faa.gov/news/updates/?newsId=57487