Why else would the right have explicitly Christian colleges, if not to counter the supposed liberal and atheist propaganda from the left?
Also, the fact that throughout history, both the far-left and far-right dictatorships target intellectuals first as the first show of power. Which shows that colleges are not inherently biased to any ideologies. I don't need to mention what the Nazis did, but I want to remind what the Khmer Rouge in Cambodia did to intellectuals and those who simply wear glasses (i.e. nerd looking). From the far-left perspective, colleges are too right. And the far-right thinks colleges are too left.
They're still considered left and identified as such.
I know Lemmy can be left leaning so I guess my analysis made some assholes sore.
Edit: to answer your question, Khmer Rouge and Pol Pot believed that society must be organised by peasants alone, and intellectuals have no place in it. Hence, the purge and genocide. That belief can't get anymore left.