Dear Sir, I completely appreciate the effort you have take to think out of the box to analyse the success of the south and I also appreciate the effort taken by you collect so many numbers and quotes. But the funny part is none of them are related to your theme.
You got to be kidding to state that the events of the medieval India is helping the South India grow!!! then how do you associate the immigratnt population (who r not even a decade old to south) also contributing to the growth.
You have missed the major point here, except for few urban centres many parts of the south are still worrying about survival. I think except for Tamil nadu almost all the other southern states have a serious crisis handling the urban rural divide in Kar and AP there are bigger regional imbalances. Totally the factors you included are marginal and mostly irrelevant.
There is a certain amount of fact that South is progressing faster but the factors are because of competencies that these states have developed from 1900's onwards, which includes major stress on Education and development of skill base, which attract industries.