What is CPUSA? Other than a woman's right to choose, the national health care debacle and not remembering, I don't know (or care) much about her political views. Basically she says and does whatever it takes to get elected and stay elected. She could be a closet conservative for all I know :-).
CPUSA is the Communist Party USA. They were finished as a mass movement by the mid fifties but the members did not go away. They became the New left which protested the war. When the draft was eliminated, they found 90% of their support gone and went into identity politics and what they called "the long march through the institutions". NOW, La Raza, various gay groups and the Children's Defense Fund all sprang from these roots. Betty Friedan,for instance, was a card carrying member of the Communist Party USA.
For an idea of what Hillary was like before she went to Yale Law, her Wellesley commencement speech was posted on FR in 1999:
Hillary Ramrod's Commencement Speech
She was a fanatic even before the Panther trial.