Our local newspaper had this article on the front page February 26, 2010, "Who'll Feed Pets in Post-Rapture World? Atheists Will Be Here” and a more detailed story in Business Week. First, it is really hard to believe that this story made the paper at all. Supposedly, only around hundred clients have signed up to have their pets cared for if the rapture happens within the next ten years. I have a hard time believing that anyone really signed up for this.
FYI: the catching up of believers to be with Christ happens at his second coming at the end of the tribulation period, so don’t waste your money on such silly schemes. See: http://alwaysreformingtoscripture.blogspot.com/search?q=rapture
Here are some resources that deal with responding to atheism:
http://www.monergism.com/directory/link_category/Atheism/Essays/ (53 articles)
http://www.monergism.com/directory/link_category/Atheism/Debates/ (25 debates)
http://www.monergism.com/directory/link_category/Atheism/Multimedia/ (16 mp3's)