China isn't communist, they are market socialists.
And it will be a looooong time before CPUSA gets even close to third. Libertarians are most likely going to be the third largest (well, they already are, but they'll be equal to the GOP and DP), with the socialists at number four.
“If there be a human being who is freer than I, then I shall necessarily become his slave. If I am freer than any other, then he will become my slave. Therefore equality is an absolutely necessary condition of freedom.”
- Mikhail Bakunin, Russian anarcho-communist philosopher, 1814-1876