A muslim boy marrying a christian girl is perfectly acceptable in Islam although it is not preferrable. Male muslims can marry a Jewish, Christian or, obviously, Muslim female because the religion is passed down through the father so the children would be considered Muslims. This is why it is okay.
My own parents are similar to the types of people suggested in your question! My mum is completely english and was brought up a christian and my dad lived in Jordan all his life (he is half Syrian, half Jordanian) and then at university in England, they met and in the end got married. Everything turned out fine.
However, in answer specifically to your question, I do not know whether Indian parents would allow their son to marry a christian girl because it is a different culture to Arab culture. If the parents were happy with it, then it would be fine.
Hope I helped somehow :-)