Litvos – yes, I would eat (and have eaten) kosher Chinese food. As far as I know there is no problem with it. Why should it be any different than American food? Actually, it’s probably better, since there it is highly unlikely that I will start to identify as a Chinese person (how do you say that – “China lady”?) if I eat Chinese food, whereas eating American food can go along with identifying as an American.
Not that I have ever heard that there is a problem with eating American food; I am just pointing out that eating Chinese food is not a problem.