Jesus never said that his followers would *go* to “Heaven” per se. He repeatedly indicated that the “Kingdom of Heaven” would *come* to them. To me, that seems like a pretty big difference. As far as I can ascertain from my reading, Heaven itself is a realm reserved strictly for God and His angels. Jesus said that no one has ever ascended there. (John 3:13) I suppose he would later become the first, if not the only, exception. (Elijah is disputable. 2 Kings:2)
Not only do I believe that it is possible to maintain moral standards without the crutch of religion—but I would argue that it is the only way to achieve true goodness and express real altruism. Free from the constraints of organized religion, a human being is able to express decency from one’s self—as opposed to attempting to appease whatever higher power he or she may believe in.