'"Schrecker has been criticized by Trotskyites for being excessively concerned for the reputations of persons connected with the Stalin-supporting Communist Party USA, noting that the CPUSA supported the US government's prosecution of Trotskyites under the Smith Act and, in general, persecuted socialists who did not support Stalin's regime.Schrecker has written critically of David Horowitz's "academic bill of rights" manifesto against what he considers a predominant liberal bias in American higher education.