Diversity is much more important than you think. They could easily fill a class with a bunch of former bankers and consultants from ivy league level schools, while raising their mean GMAT to 730. Now a class filled with people like that is going to be missing perspectives different than what those people bring.
Remember the decision process more well rounded than simply deciding based on academics. Yes we all would love a 780 GMAT, a 3.8gpa from Princeton...but if you do that and then have crappy work experience, should you get in over someone from State U with a 3.3 who got a 710 but has extremely amazing WE and extras?
I can see why someone who has to face the stiffest competition would feel that way, I mean we have all seen the stats of Indians making up 5% (rough representation of HBS) of a class when we know they make up a far greater percentage of applications. But in reality when you show up to school if you saw 650 people just like you then you would be disappointed. Besides this is what the work world is like, they recruit for diversity so why would schools be any different since they are trying to provide these companies with future employees.
To maximize your chances you need to realize who you are competing against and understand how to best position yourself against them. Realize that a lot of those people have similar backgrounds and work experience so you really need to execute better and present your strengths in a more compelling manner. There are definitely some very interesting experiences and backgrounds for Indians, its just a matter of letting the adcoms see that instead of just another person with a 750+ from a great school, who works in a very common job.
You never want to be forgettable in this process, basically you dont want them to be able to replace your name with 50 other peoples and have it work. Just like you dont want to write why you are choosing the school and have it read like: I want to attend (insert which ever school this apps is for) because of their academic rigor, great profs, incredible students, and great job opportunities...That is a sentence you can reuse in every essay with just changing the school name and its not going to help prove you know the school and fit.