interjection: The fact is that Tzahal is made up mostly of Jews (there are a few Arabs and Druze members also), who risk their lives to protect ALL Jews living in Israel – even the ones who throw trash at them, and call them the worst names. R’ Shlomo Zalman Auerbach zt”l once said that he went to daven on Mt. Herzel because he considered it kivrei tzadikim.
The Mi Shebeirach for Tzahal has nothing to do with politics. All it asks is for Hashem to protect these Jews who put their lives on the line to protect others.