Generally, 美國的法律 is better for mom than 中國的婚姻法處理. Also, you should be able to get 小孩的監護權. However, if you 打算帶小孩回國內發展, you need to have father's permission.
BTW, for the benefit of the child, you should share custody with father; i.e., have father invovled during kid's grow up.
BTW, for the benefit of the child, you should share custody with father; i.e., have father invovled during kid's grow up.