I think that is a very clever idea, not too expensive for a round trip either

Hope they do better than Silverjet. They were a company that offered a similar service between London and New York around 2005-2008. Only business class flights at a reasonable (for business class ) price. I remember reading quite a few decent reports about the flights, but eventually problems arose and the company went bankrupt in 2008. I seem to remember a couple of other companies, EOS were one, offering the same sort of service, I don't think any of them lasted very long.