There is no way whatsoever, China will be able to use these economic zones for military purposes without it being known to the US government. The author's depiction sounds like a plot for a James Bond or Tom Clancy movie.
China has excess capital and needs a place to store it. Latin America, Africa, etc. simply does not provide enough places to park her capital. And building economic zones and providing jobs for Americans is a good way to do it. American and other Western countries have spent hundreds of billions on China investing there. China is sending some of those investments back. This is how trade is being balance.
In the long run, most Americans will welcome Chinese investments. There will always be some, like this author, who will display an alarmist attitude, but I'm convinced, most people will willingly accept Chinese investments into the US.