Its funny how you mentioned only India and Pakistan and completely forgot about Bangladesh. There were three entities that came out of that partition, not two. These tensions are mostly man-made and not even related to independence, its mostly about India's claim that the two countries should be united and the people living there are similar to them while on the other hand Pakistan claims, they are different, Factually speaking, the Western part of Pakistan is more similar to Afghanistan and Iran, the Northern to China and only the East has some similarities with Northern India, not even the whole. Then there is Kashmir, should we blame that on the poorly-managed independence too? What about the province of Hyderabad or cities of Junagadh? Did the rulers there wanted to join India? It's not a competition about who is tolerant or not, its more about how to play this tolerance game so that they can rule easily and sadly only the common man suffers.