Religious conversion is the only way to marry?

I'm a christian and madly love a Muslim girl from past 5 years. Religion was never discussed nor was an issue until now. The girl has tremendous pressure to get married soon and marry in her own community, also her parents are orthodox. My parents have agreed to our relationship and do not believe in FORCEFUL conversion. So she remains what she is after marriage. As my girl's parents are orthodox they are unwilling to our marriage and often blackmail my girl. My girl says that she doesn't want to cheat / lose her parents, so she has repeatedly requested me to convert my religion. I feel very sad to listen to what she asks from me. I'm from India and for a guy to give up his religion is considered a disgrace. in this times of deep crisis, I have tried my level best to convince her not to keep this condition in front me. But everyday the same old story continues. Please advise how do I convince her that it is not right to ask someone lose their identity?