I think the traditional Asian dishes tend to be more healthy than a typical western dish. That said, much of Asia today has been influenced by the west so an average Asian's (who lives in Asia) diet tends to have more meat and dairy than what appears in traditional Asian meals.
It's funny because I am from Hong Kong and it is still where a great deal of my relatives are based, yet I find myself to be much more health-conscious than them---- I'm a huge fan of Mediterranean cooking and I force it upon them whenever an opportunity presents itself.
Yes, the portions over there are smaller, but they also consume high-fat foods in both Asian and Western style of cooking. It's hard to explain unless you are sitting down in a typical eatery in Hong Kong; you'll see that although you may not necessarily be consuming steaks and fries, the cooking methods are just as fat-laden.
I believe it comes down to your own sensibility. Like, I don't think incorporating too much soy products in a diet is good for everybody. This is where the ancient Chinese homeopathic stuff kicks in---- if you have a lot of 'yang' (like me), you can't eat soy all the time. My mother (who grew up and still lives in Hong Kong) tells me to eat more red meat daily!
At the end, do what makes you feel good in a balanced sort of way. Now that I'm older, I find myself gravitating towards more Chinese/Asian cooking. When my boyfriend (who has Shanghai heritage) and I cook at home, we make a lot soups with fresh vegatables, fish, light amounts of meats, and tofu (mainly for him) because we feel good eating them. I think it has to do with us growing up with that kind of diet, but we also immensely enjoy a good macaroni-and-cheese and juicy burgers! Have balance---- I believe that's what we all need at the end!