People of all cultures have been predicting the end of the world for millenia now. But every morning, the sun has still risen and the world continues. Oh, the world will end some day. Nothing lasts forever. Eventually the sun will run out of fuel and it will die, taking our earth along with it. Humanity will probably be extinct by then. It's a long way off!
It is possible that the Mayan calendar is predicting a polar shift. Those happen every 6000 years or so. The last one happened around 4000BCE. It's what turned the Sahara desert and most of the middle east into a desert. They used to be lush and green. So we are due for a polar reversal and possibly a climate shift. It seems unnatural and traumatic because it doesn't happen often (to humans, that is) but to the earth, it's a routine thing. It's possible some people may die, but I don't think it will wipe out humanity or cause the earth to just be some dead lump of rock, completely uninhabitable for living things.
A polar shift doesn't happen overnight. It takes place over a period of time. So there's really no set date. When the poles switch, what is north will be south and what is south will be north. We'll get some crazy weather, perhaps land that was once hospitable will become uninhabitable and vice versa.
If you think about it, every time something major happened in our lives, it was the end of the world as we knew it, but we went on living all the same. So, there's really nothing to get all excited about. What happens, happens, and there's nothing anyone can do to change it.