They also use the 'they will be changed in the twinkling of an eye' scripture to support the fact that the rapture will occur.
Basically, it goes like this (at least from the generally Baptist perspective). All truly 'saved' ones will be raptured to heaven prior to the start of the seven years of Great Tribulation prophesied in Revelation. Everyone else will be left here on earth to undergo the tribulation, the purpose of which is to demonstrate God's power and grace and thus save as many as possible of those remaining. At the end of the G.T. will come what they call the 'Glorious Appearing', at which time Jesus will return to earth bringing along those raptured prior to the G.T. and those who were 'martyred' during the G.T. They will all possess the earth for the thousand year reign of Christ, at the end of which, following Satan's release from bondage and subsequent destruction, they will again return to heaven.
Obviously, the JW's have no similar belief (regarding the rapture). They believe that ONLY JW's will survive through the G.T. They, along with the remaining 144,000 here on earth will be responsible for rebuilding the earth, welcoming the resurrected dead, and witnessing to those of the resurrected who have never heard the message of the good news. At the end of the 1,000 years, Satan will be released, go on one last rampage at which time he will kill off the remainder of the 144,000 that survived the G.T. so that they can go to heaven too. Then Satan will be offed and the 'other sheep' get to stay here on earth forever.
Actually, the concept of the rapture is a relatively new one, coming about in or around the 17th century (if memory serves correct) and is by no means a unanimous concept among the mainstream Protestant religions. Obviously, those who believe in the rapture have taken many of these scriptures VERY literally while the WTS takes NOTHING literally - everything is figurative. I'm sure that somewhere in between is the truth....