From my European pont of view, I think the definitions of left and right have shifted a lot.
Sure, in Europe left and right may be more closely matched in academia, but most "right"-leaning Europeans would not be anywhere near the "right" in US-terms, so your argument is comparing very different things
Depends. German Burschenschaften, though not massive, strike me as very far right. IIRC one of them had a big row over whether they can accept a member who was ethnically Chinese. (That guy was a full German citizen born in Dortmund, but of Asian ancestry.)
Sure, in Europe left and right may be more closely matched in academia, but most "right"-leaning Europeans would not be anywhere near the "right" in US-terms, so your argument is comparing very different things