You do not have to justify about being Indian to anyone.
Most people vent their anger and frustration by cursing Muslims and accusing them of being unpatriotic etc. This is very wrong.
Muslims are just as good or bad as the rest of us.
But what can explain the relentless spate of terrorist violence? It is important to understand that. And I believe one can understand if one reads the source material of Islam.
Blaming Muslims is wrong and futile. Understanding and examining Islam is the key. Hope you understand.