Living in Malaysia, I find the fact that Islam is so prevalent among the Malay population of here and Indonesia interesting. We were the site of multiple ancient and powerful Hindu-Buddhist kingdoms, yet among the population, there are almost no Malay Hindus or Buddhists (and legally none). What caused Nusantara to so completely and totally convert to Islam?

Further, looking upon the region's history, it seems to me (a layperson, at least!) that it parallels India's closely. Strong Hindu-Buddhist kingdoms, introduction to Islam by trade, then local Islamic states, then colonialism. What were the differences in local conditions that made the archipelago so susceptible while India largely stayed Hindu?