Any english speaking student from India can get admission on below level. 

Undergraduate

Post graduate

Doctoral

Post doctoral

For each level there are admission requirements which may vary according to the institutes. But in genral you need to fight GRE/ Toefl, Subject GRE, Some Research Experience, Good academic background, good SOP, and very good recommendations.  Then online applications. If you have a good publication with high citation then your admission will be sure.

Above mentioned  things will decide that you can fly to USA or not.  

This a good collection of information regarding your application to top schools in USA.

http://www.scribd.com/doc/200545/Evaluate-yourself-for-Top-Universities