The site has a glossary in which they offer a lot of rapture-specific definitions including, of course, Rapture:
At an unknown hour and day the Lord Jesus will descend from heaven, while remaining in the air, he will snatch his Bride, the Church, out from among this sinful world. Christ then takes the Church to heaven for the 7 year wedding feast. The earthly reason for the removal of the Church is to make way for the rise of Antichrist and to fulfill Daniel's final 70th week.
Essentially means that the believers will rise to heaven (and the innocent - children - I would guess) leaving the rest of us to contend with the time of Tribulations:
A period of time lasting 7 years, the first 3 1/2 years will be relatively peaceful as the antichrist rises to power. The second 3 1/2 years will bring the greatest suffering in human history as the wrath of God and the Antichrist is poured out on earth.
God, for us non-believers, there will certainly be lots o' stuff going on. Maybe it'll be like some bitchin' live-action Unreal Tournament in which we get to blow away demons and other evil things.
I wonder, however, if the Rapture occurs, if the intolerant religious people among us will actually end up staying here? Wouldn't that be hysterical!?
Maybe it will be a good thing. After all the Bible-thumpers get vacuumed up by God, we can all sit down and watch porn on primetime TV without some religious nut going off his rocker. The whole Janet-Jackson-breast-flash episode would be a titilating footnote rather than an earth (and by earth I mean, of course, the US) shattering EVENT (<--- excuse the caps).