mmm I'm not sure you can separate out a 'non religious' charisma. It is essentially a spiritual quality that attracts followers and seems to produce copying behaviours. I wanna be like him/her, I want what s/he's got sort of thing.
Before I heard of Asperger's I was writing up a disability pension application on the basis of being charismatic, and that it made it impossible for me to live a normal life. Glad I didn't have to go thru with that one, it's a very difficult subject to research, not a lot of really good stuff out there on it. Of course it's in the eye of the beholder too... but the way people carry on around me at times was very bizarre, running out and buying the same clothes, seeming intoxicated etc etc. I think Max Weber has some interesting work on charisma - he defines it thusly: ...a certain quality of an individual personality, by virtue of which s/he is "set apart" from ordinary people and treated as endowed with supernatural, superhuman, or at least specifically exceptional powers or qualities. These as such are not accessible to the ordinary person, but are regarded as divine in origin or as exemplary, and on the basis of them the individual concerned is treated as a leader.
I don't know that it got me any more boyfriends than the average person, but it works differently in women, it's regarded as a bit scary, evil temptressy or witchy I think. If I had a dollar for every time I've been suspected of being a witch, I'd be a very wealthy woman today.