Grilled kebabs in China is a specialty of Uigurs (维吾尔族/维吾尔人) (a China's, a Kazakhstan's, a Uzbekistan's and so on Turkic-Islamic minority):
https://en.wikipedia.org/wiki/Uyghurs You can see some photos about them:
http://cn.bing.com/images/search?q=Uighurs+kebabs&FORM=HDRSC2Many Chinese (from all the nationalities) like to eat grilling food. That is why having a grilled food restaurant or fast food shop is usually a good business idea around. You can be an illiterate minority person, who has no idea what's the meaning of 'USA', 'Moscow' and 'Latin America' and who can't write a single word in a foreign language,
but once you got enough capital to start a grilled kebabs place, you'll be richer than others, who spent years learning in universities and serving (being servants) currently of different companies.
Smoking meat: there is different smoking meat from different provinces. I'm not sure, if it's popular in every province, but I think it's not infamous. But I read
smoked food isn't healthy and I don't eat it often. Just like once or twice a year, usually.
'Chinese' food? It's all depends of the region/province of China. A fast example: in some places they're Muslims and they can't stand pork, but in others they aren't Muslims and they can't imagine the life without some pork; another one: somewhere they prefer noodles, not rice and vice verse.