Don't worry about your pets if you are taken by the rapture - this organization has a list of non-Christian pet lovers who will take care of Fluffy and Fido for you.

Carol began recruiting other non-Christian animal lovers nationwide to volunteer to take care of left-behind pets if the Rapture occurs. As a Christian, my role has been to put together a program that is Biblically appropriate and provides true value to Christians. I believe we’ve come up with a plan that is affordable, unique, Biblical and practical.
http://aftertherapturepetcare.com/