China’s internet warriors going to battle over Hong Kong
scmp.com
scmp.com
Same thing happens in the West, except in the West it's usually NGOs instead of governments themselves.
I don't know if there are government sponsored campaigns, but the vast majority of these people are acting spontaneously, you can see people on Weibo sharing how to register western social media and what to do if suspended, there are Baidu Tiebas(similar to Google+) dedicated to these coordinated campaigns with millions of followers.
The reality is the vast majority of China support the CCP, and most of them do not hate the regime.