I was at a party last night. Several Jewish and atheist friends, so when 6:00 came, we checked online to see if there were any reports of people floating into the air, since certainly none of us were going to be raptured! It seems it didn't happen. Either that or there isn't a single worthy person on the entire planet.
I was pretty relaxed, considering that Hindu mythology also predicts an end of the world and we have several thousand more years to go. Also, Hindu time works in circles, so the end of the world is simply the beginning of a period of rest and then the creation will spring forth again in the golden age.
There are some striking similarities between Hindu myths about the end times and Christian myths. In Hinduism, when things in the Kali Yuga (the final age) get as bad as they can get, it is an avatar of Vishnu who will appear, known as Kalki.
"When the practices taught in the Vedas and institutes of law have nearly ceased, and the close of the Kali age shall be nigh, a portion of that divine being who exists of His own spiritual nature, and who is the beginning and end, and who comprehends all things, shall descend upon earth. He will be born in the family of Vishnuyasha, an eminent brahmana of Shambhala village, as Kalki, endowed with eight superhuman faculties. By His irresistible might he will destroy all the mlecchas (Barbarians) and thieves, and all whose minds are devoted to iniquity. He will reestablish righteousness upon earth, and the minds of those who live at the end of the Kali age shall be awakened, and shall be as clear as crystal. The men who are thus changed by virtue of that peculiar time shall be as the seeds of human beings, and shall give birth to a race who will follow the laws of the Krita age or Satya Yuga, the age of purity. As it is said, 'When the sun and moon, and the lunar asterism Tishya, and the planet Jupiter, are in one mansion, the Krita age shall return.'" (Vishnu Purana, Book Four, Chapter 24)
As with some Christian sects, there are Hindus trying to predict the exact time of the end of the Kali Yuga and they do a lot of cross referencing of ancient texts. Personally, I don't think it's important. I will continue to live as dharmically as I can and knowing when the end of the world is will not change much for me, I don't think.