The inaccurate statement about the McCarran Act is Truman's veto being overridden by Congress. The act actually prohibited forming a Communist Party, required members to register, and prevented Communists from entering the U.S.
The inaccurate statement about the McCarran Act is that Truman felt the act was unconstitutional, but Congress overrode his veto. In reality, Truman vetoed the act but Congress passed it despite his disapproval.
The act prohibited the formation of a Communist Party in the United States, members of the Communist party were required to register with the federal government, and prevented Communists from obtaining passports or entering the United States.
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