There is no doubt that India was great country and is still a great country in many ways. India had a huge influence in the present Asia.
The changes that came in Arabia and the Philosophy that changed it is Islam. What changed was Polytheism to Monotheism. Islam beleives that there is one God and he is OMNIPOTENT.
As far as Cultural similarities are concerned today we are following the Western kind of lifestyle without being invaded by the Western countries. Cultural excahnge used to happen a long time ago and that is how Civilisations developed over the world.