These stereotypes are ideas Asian guys have known and have lived. It's beaten many to the point where they feel they have no chance and use scapegoats like the media and white guys. Most Asian women also perceive this as the truth and likewise feel they have to turn to other races in order to position themselves higher on the social ladder and Asian males be damned. The cycle continues.
For both Asian males and females, their Asian-ness becomes the cause of their social ineptitude, so the only way out, many feel, is to conform, assimilate, and ultimately abandon their Asian-ness. Make fun of the fobs who haven't learned the ways of America. Idolize pop culture and ditch the history, language, and culture of your parents, grandparents, great-great-great grandparents in one fell swoop. Teach your kids the wonderful ways of America by blending in because 4.2% means nothing in this melting pot.
This is what Asians need to do: Define what it means to be Asian for your own sake instead of buying into what other feed you, me included. Take pride in your differences and ideas and connect with your parents' culture because you're old enough now to appreciate it. Stop being so godamned shameful in who you are and how you carry yourself. Recognize that you are one of many diverse Asian voices that collectively make up a misunderstood minority whose individuals need to speak the hell up.
Do all this, and then talk about it to Asians and non-Asians alike.