If the rapture were to happen, and hundreds of thousands or millions of living people just disappear, such an event could not just be explained away. Such an event would certainly be provocative and call many things into question. I would put that on the same level as the arrival of an alien space ship that parks itself over a major city.
In 2004 over 200,000 people died in the Indian Ocean tidal wave. I wonder if the rapture will be masked by a simalar disaterous event. It does not seem out of place for Jehova to use such an event to call his faithful to Heaven.
Seems a bit psychotic to use a natural disaster for that purpose (any natural disaster; obviously a tsunami would have zero effect on me personally, given how far I live from the nearest ocean, but this is a tornado region).
Hopefully "the faithful" wouldn't be doing anything important that day, such as minding things at a nuclear power plant or piloting an airplane or performing surgery.