[Raj_Copi_Jin]

I agree with most of your reasoning except that in the North at least they do frequently refer to Jai for God. From Siyavar Ramachandra ki jai to Jai Matadi to Jai Bajrangbali. I think the Jai is more like a salutation rather than victory explicitly.

But your point of God unifying the masses, Hindus, Muslims, Christians etc beside his throne, is quite true.

However in spite of everything our national anthem does sound quite grand when played by a full band. In fact it gives me goosebumps of patriotism. Probably not worth abandoning at this point. However individual state anthems may also make sense.