Sorry if this is getting too non-language specific, but I think it still has language merits that fit the sites requirements.
中国梦 we really don't need a translation as it's clearly just a play on 美国梦 (the "American Dream), so we have: the "Chinese Dream."
What we do need is a definition. What is the Chinese Dream?
There are, of course, certain connotations that come with the American Dream: freedom, prosperity, etc. but I'm at a loss as to what the Chinese Dream means or even denotes.