The difference is not subtle. It's stark.
Western belief system preaches One life - one birth, one death. So it becomes so damn important that you wish to change the world in it. That's the right way.
Indian belief system (Hinduism, Buddhism, Jainism) preaches an infinite Cycle - you die and get birth again. Born - Die - Repeat. So you wish to get out of the rut - find zen, nirvana, moksha. And it's so damn important to change yourself and your karma.
If you are westerner you need to think about which is the Right way and which is wrong. If you are an Indian you need to think both are right, which one would you choose in this life?