If we said a mi sheberach for the IDF, why should we not say it fkr Hatzolah, Shomrim, and others who help jews? We already say acheinu…betzara uvshivya.
It’s only said because of an anti Torah attitude of putting them on a pedestal above other jews who are helping other jews.
Re, medina; you know EXACTLY why no one outside the Hebrew national community says it, or hallel on bones day, or anything else.