Very interesting mythological allusions.Chang'e, Yutu and Quegiao. The Goddess, The Jade Rabbit And The Magpie Bridge http://www.informationclearinghouse.info/50877.htm
The US is the one that does not want any cooperation with China and barred its scientists from cooperate with their Chinese counterparts. The US stopped China from joining the International Space Station effort. China has no choice but running a space program on her own.As a piece of science, this is to be welcomed.
And there would be absolutely nothing wrong with the Chinese Moonbase. However, a joint Chinese-Japanese-Indian-European-US-Whatever Moonbase would be even better.
Space has been one place where effective international co-operation has worked. Science in general works as a successful collective human enterprise (e.g. climate science, weather forecasting).
We need more international co-operation, not less. Perhaps the Chinese becoming serious players in space is an opportunity to do that.
On the negative side, international rivalry to exploit resources on the Moon, like minerals, needs to be avoided. There is a fore taste of this going on here on Earth, as a shrinking Arctic lends itself to exploitation, and possibly a shrinking Antarctic also.