I cannot speak to her ideology, as I've only read her novels and admired her amazing craftsmanship and care. For example, in "The Dispossessed" she crafts a point of rational observation of both extremes of capitalism and communism. I've not had the opportunity to read of or hear her own personal views.
I think her remarks aimed at Amazon miss the mark. She said: "...We just saw a profiteer try to punish a publisher for disobedience and writers threatened by corporate fatwa, and I see a lot of us, the producers who write the books, and make the books, accepting this. Letting commodity profiteers sell us like deodorant, and tell us what to publish and what to write."
Amazon was not "punishing disobedience", rather they are attempting to negotiate more favorable terms for literally all involved parties. (Amazon's historical data shows a lower price for e-books increases overall sales generating a higher profit for Amazon, for the publisher, and for the author.)
To me, attempting to show an equivalence between Amazon's contractual negotiation with Hachette and religious pronouncements from Muslim clerics sounds a false note in an otherwise important statement.