Ninety five percent used all but about 20 hrs? Not shocking in the least bit given that people who work in unpleasant surroundings often will do just about anything to escape. I work at a job that gives me sick time as well and have rarely taken time off unless absolutely needed. At a previous job that had management bullying the employees that wasn't the case and I had around 20 hours of sick time.
This looks like a management issue and that managers who use intimidation, ridicule, humiliation, etc as management tools should be terminated and replaced with managers who lead by example and who motivate those they supervise. Sounds like TSA might also be setting itself up for a worker to go postal. Wonder how that one would get spun by Blogdad Bob?
You might also look into the number of prescriptions written for anti-depressants. If that is significantly high then you have a serious problem on your hands.