Polls really need to start adding filter questions like "Do vaccines work?" "Did humans evolve from small mammals?" because some people not believing something works is actually a positive signal.
Are there problems in Higher Ed? Almost certainly. Are changes to the situation driven by the "vaccines don't work crowd" likely to make things even worse for everyone? Oh yes.
I've certainly seen YouGov surveys asking if I'd ever visited (IIRC) some tiny town in Alaska, presumably to weed out people who just say "yes" to everything. Recent quiz question from Tom Scott's Lateral podcast was along the same lines but for being qualified to pilot a military submarine.
Are there problems in Higher Ed? Almost certainly. Are changes to the situation driven by the "vaccines don't work crowd" likely to make things even worse for everyone? Oh yes.