Am I supposed to not have any feeling of sacredness if I'm one of many people watching the video of SpaceShipOne winning the X-Prize? Why not? Am I supposed to think that my experience of sacredness has to be somehow different from that of all the other people watching? ... Is the feeling private in the same sense that we have difficulty communicating any experience?

There are more possible explanations. E.g. replace the word "sacredness" with "arousal".