It is inappropriate for teachers to demand that students take pictures of themselves at home to send to said teacher.
First, it is an invasion of privacy.
Second, there is no legitimate reason for requesting such a thing.
In general, I dont disagree with that position. However, this was escalated to calling police on the school. I have to ask why? Was it just bad judgement on the part of the school, or a parent creating a mountain out of a mole hill, or something nefarious? Of the three options, it still seems to me like over-reaction on the part of the parent. She did not need to involve police unless a genuine crime has taken place.
Getting into a private school is competitive. Getting dismissed is not hard at all.