Except Marxism was extremely anti-intellectual. You didn't have scientists in positions of power, instead peasants became majors. Children of intellectuals were forbidden to attend universities and forced instead to work in the industry.
There's nothing marxist in what you describe. Maoist or Leninist, maybe. Then again that's the case for the description you responded to as well.
Really? Have you read Marx at all?
I think you are referring to the Chinese Cultural Revolution (I can not think about anything that fits your description in the Soviet history, for example) - but that has little to do with Marxism and does not follow from it. Of course, almost all communist regimes feature mass purges, especially at the beginning of their rule, but usually these purges are not specifically aimed at intellectuals but at "old elites" in order to destroy the existing power relationships and establish the new ones. I do not see anything specifically anti-intellectual in Marxist theory or practice.