It does occur. For example, among establishment Republicans who fret that taking a tough position on border security endangers a GOP seeking to broaden its base.
Perhaps it is not too surprising that Democrats want to ban alternative forms of expression other than their own, particularly on college campuses. What is mystifying is the degree to which Republicans want to help them do it.
The American Enterprise Institute (AEI) proves that media bias leans towards Democratic Party education reforms rather than Republican ones and they’ve proved it scientifically, or at least social scientifically.