Yes, "eschaton" is Greek and means "end of the world". Several Church Fathers have said that the rebuilding of the Temple is one of the signs. Another traditional view is that the Antichrist is supposed to be a Jewish man from the tribe of Dan.
However, if the Dome of the Rock is destroyed, I reckon that they won't get too far in rebuilding the Temple because there would be hundreds of millions of very angry Muslims around the world (I don't blame you, I'd be very angry, too). So I honestly don't see how it is going to happen unless they move the Dome or something.
Either way, it's a very scary thought. Rebuilding of the Temple would also be viewed as blasphemy towards Christ, to Christians. To be honest, I hope I'm dead long before that happens.