As of Android 4.4 (KitKat) it seems lots of people are having trouble turning off their Emergency Alerts.
So I am writing this in the hopes that those that need it can easily find out how to disable them.
Android 4.0 - 4.3
Messaging App-> Settings -> Emergency Alerts
Verizon added their own app called "Emergency Alerts"
Apps -> Emergency Alerts -> Settings -> Alert Types