India is the world's largest democracy, has a multi-party system, has had prime ministers from different religions, and both men and women top leaders. The US on the other hand has only had Christian leaders (4 have technically not specified), and all men. It's also a 2-party system. The burden of proof here for this statement needs to be on the one claiming that US is more democratic.
The greatest challenge for the rise of India is the colonialistic mindset of many (but not all) Indians today. Hold yourselves equal and ask for you what you rightfully deserve.