Bound to fail. Who would answer such a survey honestly? Heck I've been in classes as a college student where I somewhat even agreed with the professor and still played up to what they person wanted to hear just to move it along. If you wanted to avoid college campuses just becoming places for sermons about whatever political ideology or pseudo-ideology is in fashion, you'd have to control the ideology of professors and basically obliterate administrative bloat on campuses so that there isn't a reason for this kind of cut throat political mania. Hiring diverse professors and making sure no one ideology is a plausible path to a sinecure within an ever expanding campus bureaucracy is more useful that surveys.
It is in fact a core feature, not a bug, that every new step in the “culture war” seems to require a new federal commission, corporate diversity department, or university star chamber to be staffed and funded. It is similarly a “feature” that behind every claim that this or that area is “too [x],” the expected resolution is always that more resources be diverted to new hires (preferably the particular person or persons raising the alarm) to correct this imbalance, or that some people be fired so that their jobs can pass to the more deserving. Today these fights over jobs, grants, and resources are not understood as fights over jobs, grants, and resources, but as wars over “culture” and “values,” wars that just—by the strangest coincidence—happen to involve all the other material things, supposedly as some sort of trifling afterthought. The immediate payday, we are told, is just a small step on the way to some far-reaching goal.
(From: Planet of the Grifters)
If DeSantis were serious he would be going more stringently after the patronage network that fuels this entire thing. Conservatives always assume this stuff is coming from some principle or some conviction or belief, instead of seeing the obvious that this is a bitter cut throat battle for sinecures, patronage, NGO jobs, grants, resources and funding.