They already have failed. Check out this book:
Jesus in Beijing: How Christianity Is Transforming China and Changing the Global Balance of Power
China is sending missionaries to other countries while the Western church (in many cases) deteriorates in morals and becomes more polluted and secular.
I had read, although I can't remember where, China will be home to more Christians by 2010 than in all other countries in the world combined.
I've noted the transformation of the Christian church in China and that was evidenced by the Wangfujing's East church in Beijing. When I first saw the structure, it was down an allyway hidden behind shanties, old and unkept, but strong - just as the Christian church of China existed under communism. The Chinese have since torn down those shanties, cleaned the stone structure, and relandscaped it, bringing it to front and center of the Wangfujing District. That is how the Christian influence in China is now under the current relaxed rule.
But those aren't the only transformations the Chinese are making. http://www.chinadaily.com.cn/english/doc/2004-12/23/content_402718.htm
Granted, there are strides yet to be made, but Christ lives and transformes lives, no matter what obstacles my seem apparent.