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On tht I offer this as counter-evidence: Day's rejection of statism even in the form of Social Security:

We believe that social security legislation, now hailed as a great victory for the poor and for the worker, is a great defeat for Christianity. It is an acceptance of the Idea of force and compulsion. It is an acceptance of Cain's statement, on the part of the employer. "Am I my brother's keeper?" Since the employer can never be trusted to give a family wage, nor take care of the worker as he takes care of his machine when it is idle, the state must enter in and compel help on his part.
Of course, economists say that business cannot afford to act on Christian principles. It Is impractical, uneconomic. But it is generally coming to be accepted that such a degree of centralization as ours is impractical, and that there must be decentralization. In other words, business has made a mess of things, and the state has had to enter in to rescue the worker from starvation.
Of course, Pope Pius XI said that, when such a crisis came about, in unemployment, fire, flood, earthquake, etc., the state had to enter in and help.
But we in our generation have more and more come to consider the state as bountiful Uncle Sam. "Uncle Sam will take care of it all. The race question, the labor question, the unemployment question."
We will all be registered and tabulated and employed or put on a dole, and shunted from clinic to birth control clinic. "What right have people who have no work to have a baby?" How many poor Catholic mothers heard that during those grim years before the war!

Yesm, she was against SS because leaned toward being an anarchist.

She also refused to pay Federal tax.

She spoke out against capitalism and this is what she said she wanted society to be:

We would like to see a country made up of farming communes, agronomic universities, hospices, unions, cooperatives, small units of all those necessary institutions to be preserved, and a doing away with luxury in order to have the essential which is ownership of house and field and job, and the responsibility which goes with that ownership. We wish to abolish the proletariat state, rather than establish the dictatorship of the proletariat, abolish the wage system which provides men with luxuries but not the essentials.

She was a radical leftist...but more in the form of anarchy, not communism.