I understand a will to change a threatening country, or to get rid of a really evil tyran like Pol Pot. But a country having a different level of censorship of the media is not, to me, a casus belli.
We can be proud of many parts of Western values and culture and even whish more people adopted them, but then it should be like with a friend with some weaknesses, you'll be more friendly and show by example how to handle things differently, instead of taking distances or lecturing constantly.
So either you use brute force, against a major threat against your people or a tyran, or you try to promote the soft way your best parts, by showing their good effect on your own society. In this case, with all the very worrying problems we have, I would understand other countries like China to be sceptical.
And by the way, China has already embrassed many of the good (hear: useful) parts of Western culture, like science and law. But it takes a lot of time to implement and get the positive results, around 50 years.
The bit about China "embrassing" (I assume you mean embracing) the "useful" parts of Western culture is neither relevant to this discussion, nor particularly constructive; it comes off sounding defensive more than anything else.
I've been living in China for over ten years, and I hope this admirable continent-sized country will never become like the USA or Europe. My wish for these people is that they continue to find their unique way to be happy.
Whether China needs to be improved or not, and who needs to do that, is actually irrelevant to this discussion. I just want to encourage people to work together instead of starting Cold Wars.