I think people with beliefs that do not involve an Armageddon tend to have a more long-term vision of the future. How's that for a nuanced position?
Basically, I believe that the belief in an Armageddon tends to make people a little short-sighted, lazy, and/or apathetic. There's no need to be environmentally concious-- this world's coming to an end anyway. We can't or won't solve the problems in the world-- it's already been foreordained that we fail.
If you don't believe that the world is going to end in the near future with a great onslaught of evil and horribleness, then you might be more inclined to believe you can fix current problems or be more motivated to help prevent or excaberate future ones.