In her article "The Myth of the Classically Educated Elite" Naomi Kanakia makes the following claim,

"Indeed, the one area where Classical education continues to be in vogue is among neoconservatives: that group of former Trotskyists who turned to the Republican Party in the late 20th century and became a huge (albeit now waning) influence on conservative politics."

Is there a firm basis for an assertion that the neoconservative movement was an extension (or evolution of) Trotskyism and Marxism?