This pure non-sense. Adi Shankara did not convert any one to hinduism (even the term "hinduism" did not exist during Adi Shankara's time). There were warring factions like Shivites and Vasishnavites apart from various indigenous factions worshipping "Shakti" etc!
Ashoka did not rule any significant part of South India. He had sent his daughter Sangamitra to Sri Lanka to propagate Buddhism.
The Buddhists do not beleive in any god (or supreme creator). They beleive in the theory of "karma" and "re-birth" and interestingly enough they beleive that the re-birth is based on the "last thought" of the dying person!!