Alright, let's put it to the rational test.
My claims are:
1) Polls, by its very nature, are not perfect, and anyone can claim "flaws" in every single national and international poll ever taken and ever will be taken. However, credible poll agencies (and Pew is one of the best) do well in showing trends (likes/dislikes, happy/unhappy, right way/wrong way), and the specific poll we're arguing about does that well enough
2) The poll in question showed many of China's neighbors are concerned with her increasing power and willingness to use it
3) The same poll suggested China's neighbors are generally more positive about the US than China, and want continued US involvement in the region
My take of the polling data is the US has a bright future in Asia, because China's many nervous neighbors want the US around to constrain and balance an evermore powerful and restless Middle Kingdom. Furthermore, should China try and push the US out of Asia, she will see resistance not only from the US (we are a Pacific nation after all), but from most of her nervous neighbors. My final claim is China's neighbors are rightly nervous and shouldn't trust her sweet words of non-hegemonic intentions. That's why they're smart to hedge against China.