I am sure that the CPUSA will be astonished to know this and will be checking their membership lists. Of course the claim is nonsense. However in U.S. politics that does not seem to matter.
A spokesperson for West defended his nonsense:"The Congressman was referring to the 76 members of the Congressional Progressive Caucus. The Communist Party has publicly referred to the Progressive Caucus as its allies. The Progressive Caucus speaks for itself. These individuals certainly aren't proponents of free markets or individual economic freedom," Certainly the Caucus probably supports controls on markets and controls on individual freedom to rip people off but then they also support capitalism and business. No doubt the Communist Party see the Progressive Caucus as supporting the working class more than others. This does not make the caucus members of the Communist Party USA.
There is a photo of Mitt Romney signing the Romney care bill in Massachusetts. Behind him is the late Ted Kennedy who supported the bill. Romney even thanked him for his support. No doubt Ted Kennedy must have been a member of the Republican Party. Oh maybe I got that backward. Mitt Romney is a member of the Democratic Party. Republican conservatives would like that conclusion.
The Communist Manifesto calls for free education for all children in public schools. Omigosh Americans are already commies. See this libertarian analysis. See also the appended video of West speaking.