Religion is, by it's very nature, transcendent. The world and the concerns thereof are not the concerns of religion. Religion answers the quest for the highest good by pointing beyond the world of our physical experience. Therefore members of a religion may very naturally anticipate the end of this life (or the world) with hope.
There are interesting theological questions around how the world itself is viewed, and each religion answers such questions differently. For instance, a gnostic Christian might reject the material world as evil, while an orthodox Christian would uphold the inherent goodness of the world which is passing away. 752
It sounds fun to flesh out such details (don't forget to include internal conflicts within the religion itself).
Obviously contemporary American religious thought won't yield much good source material, because modern American religion is almost always hedonism in disguise; but it would be interesting to look into the Tao Te Ching, some writings of the ancient Christian ascetics, and some literature about Hindu gods of destruction for a wide range of perspectives.
The basis of a positive arguments used to attract followers would be that the coming world is better than this one. This is an easy argument to make given that in our world: 1) people tend to think the world is bad and 2) they also always seem convinced that it is getting worse, in spite of many efforts to make it better. It therefore shouldn't be hard to draw the conclusion that the world must be remade. Of course, a nihilistic argument could be made that life itself is bad (see any bad guy in any movie ever).
A pseudo-Buddhist argument might go something like desire causes us to suffer; the pleasure does not outweigh the evil of the suffering; it seems impossible to not desire while in the body; therefore all desire must be extinguished by the apocalypse after which we will …
I guess, in general, I think it is harder to argue for the goodness of the world than it's badness. Therefore I don't think it should be hard for you to construct convincing arguments for it's demise, be they hopeful for a better existence or not. 590