As an Indian, I would say you are right. India is attempting to skip several cycles of progress and arrive at the end result. There are also deep socio-economic problems to solve.
A more important problem is that quality of Human resources. Things like infrastructure are easier to fix compared to building a educated, civilized and highly trained workforce.
>>I don't think India will naturally follow the progress China has made
The Chinese kind of politics is impossible in a country as diverse as India. If you force through you only end up breaking the country. So we will never have a single party, single flavor rule in India.