... links between the NP and the Democratic Socialists of America (DSA), as outlined here, aren't exactly clear.
See also the many unverified-by-me claims made here; there are too many to list. However, if true, they provide a very clear, long-running link between Obama and the DSA.
UPDATE: See this and this for much more on the Obama-ACORN-New Party-DSA nexus. On a topic unrelated to CPUSA members...