That is correct. The training would do a lot to drive a wedge in the teachers' minds between the lies they've been told and the truth as they are trained, making them better teachers.
Now, to get it REALLY right, the school districts should put a premium on hiring teachers with military combat experience.
Yes indeed - hiring military vets, particularly those who continue with their marksmanship, own their guns and use them frequently would be among the best schools could hire!!