To add to this, you may even be able to say that India is more democratic than the US in some aspects. The US electoral system often means that some people have a much more powerful vote than others depending on where they live. Gerrymandering is another aspect of this.

In India politicians often do not represent the views of their voters because they are often elected based on identity, not policies. The key thing to note here is that this is not due to the structure of the system (which is democratic); rather; it is due to how the game is played -- no amount of improvements to the system (short of a direct democracy?) or laws can change this since this is a matter of how the people are voting.