Do you mean a totally gun free zone, like an airport is with metal detectors and such? Do you feel comfortable on a campus where they tell people not to bring them, but offer no guarantees to anyone? Thus people who obey the law leave their guns at home, and the nut jobs plot their GTA like rampage, and go nuts on campus. Does the 2nd scenario offer any real peace of mind?
People who buy guns legally, and pay for concealed carry permits are not doing so in order to commit a crime. These people are not in any way part of the problem with crime. In fact armed citizens are a great deterrent to crimes of all kinds.