You guys don't understand American culture at all. Americans will never treat us Chinese as true Americans, regardless of how you identify yourself. America was founded by white, rich pilgrims coming from Britain on the Mayflower - white people always wanted this country to be designed truly for the white people, not for any and all immigrants of all shapes and sizes. You think just because you study hard and have a USA passport, that the core USA circle of leaders, financiers, and politicians will treat us as true Americans? Forget about it. Donald Trump's successful ascension to the presidency has demonstrated that Americans are worried about immigrants taking up a greater and greater percentage of the USA population and hence that's why where is so much racial uprising against minorities.
The sooner you understand the truth the easier it will be for you to accept. Don't throw your sons and daughters into the fake American "melting pot" when it was never intended to be such a cosmopolitian nation to begin with. Let them learn Chinese, let them learn China's history, so that when they are older they will have the freedom to make the decision themselves about whether or not they want to come here or stay in China.