I wrongly assumed that amending the birth certificate wouldn't be a problem. Apparently in China, birth certificates cannot be updated or changed. It makes no sense to me since he must have a father and if it's possible to include that info, you'd think it would be something worthy of an update.
I do want to use the paternity test to get him a US passport as well once I can get into China to attend the required in-person meeting with the US consulate to document his birth. I'm in limbo.
Also it would be nice to have the option of bringing them to Thailand so it looks like we'll have to get married. Not a problem but I need to figure out how to arrange that as well either in Thailand or China.
Also, it seems like the US will accept an affidavit that states that the father will provide financial support. It seems like that's all that's needed although they have the option of requiring a paternity test.