They'll probably build copies of it just like they manufacture copies of cars, trucks, and just about everything else- copied down to the last bulkhead and rivet for better or worse. I don't mean that as a positive or negative opinion, just a simple statement.
China is very interested in being important in their own neighborhood but I don't see them as aspiring to build a global empire - that just isn't part of their culture. National interest in having a blue water navy to protect their sea-borne trade (imported natural resources from Africa or exported manufactured goods to the Americas and everywhere else) and to discourage foreign navies from playing in China's own backyard yes. Using that power to become the next global hegemon for the sake of being a global hegemon, no, I don't see that happening.
edit: There's a fine line between protecting your global trade and being a global hegemon. But the difference is that for the last 65 years we've chosen to make it our own national priority to influence global events because of things like the Domino Theory, Kennedy Doctrine, Carter Doctrine, Bush Doctrine, and defining human rights as one of our stated national interests... as opposed to our isolationism from 90 years ago.