The official word on LotD is can be found if you Click here If you enter Lord of the Dance in the filter box, set for 3 years & refesh you'll find several previous threads.

I'm not sure about Jesus the dancer in the apocryphal gospels or what you mean by source. Lord of the Dance is part of an old carol tradition & not a new idea from Carter. See My Dancing Day in the database as a much older carol on this theme.