What do non-college whites resent about elites?

It's right there in the name: college.  

How would you feel if your tax dollars paid for education at the University of Iowa that your children were not "qualified" for? What if the kids who did get admitted were taught by hippies to hate you and your values? 

Ed Kilgore at NYMag

The bill would require the secretary of State to provide voter-registration data on all faculty at public universities for purposes of establishing the baseline for calculating “balance.”