Why would Christ die for that? Pagan idol worshippers "follow their conscience." What poppycock.
You should not be so smug. What if you had been born a Hindu? What if all your ancestors for centuries were Hindu and you loved them and respected them. What if the ties that bound you to them and to your land and culture were intertwined with Hinduism? Are you so smug as to think that just hearing the gospel once or twice could overcome all that conditioning?
What happens to pagan idol worshippers who do follow their conscience?