I think this is phenomenon is itself a byproduct of the education system, more specifically that liberal values and ideals are seen as more intellectually correct. In fact I think liberals are as guilty of this occurring as the conservatives. Part of the solution should be in consciously emphasizing the need for empathetic listening and respect (though not necessarily agreement) for the opinions of others even if they conflict with our own "intellectually superior" liberal values. Once that becomes embedded in the educational culture we can begin to see a turnaround.
"liberal values and ideals are seen as more intellectually correct"
The irony here is of course is that those complaining about not being heard on campuses today are actually the most privileged members of western society who support restrictions on media and suppression of freedoms for marginalized groups. Tolerance as a value can't survive if the tolerant are required to provide a platform to the intolerant.