I'm not a very experienced singer, so take this with a grain of salt. The magic, for me, is a combination of confidence and lack of distraction. What happens is you quit thinking about breathing, relaxing, words, etc, (because you have all those things nailed) and the song just flows like a great river of sound. You don't worry about what you're doing, so all your energy is focused on the song. The people who are listening recognise this, sometimes just on a gut level, and their attention on the song feeds back to you and intensifies the feeling.

It sounds like your focusing on an energy point is a way to prevent distractions. I think stage fright could interfere, but doesn't have to. After all, nervousness and downright fear are just forms of energy, and can also be focussed. Stage fright is a problem when you fight it, because it's a distraction. If you recognise and welcome it and turn it toward that energy point, I think it can actually help a performance.