Answer:
The belief that everyone will be saved by God is called universalism. It is rapidly gaining believers, even if not officially. Pope John Paul II was a prominent universalist. Some people formally accept it, while many more people of various religions accept it by default. (They would rather not speak of the possibility that a dead person is not in heaven after all, so by default of ignorance, they are universalists). The argument for universalism is that God is a loving God, therefore he will save us all; it would be cruel of him to refuse to save people. The arguments against universalism are more varied, but the two most common are 1) Jesus lists the possibility of hell; and 2) If we're all going to heaven, there isn't really a value in good works. I am not a universalist; in my opinion, universalism is just a product of denial. You can disagree, though.