Sam, you are confusing the Medina with the government. When bahab fell on Yom HaAtzmaut Rav Tzvi Yehuda would say both Hallel and selichot. Hallel for the State and selichot for the government. The solution is for frum Jews to make aliya and vote for change.
Health, and you are motzi laaz on every soldier who davens for Hashem’s help.As for kol isha, we went through this before. There are heterim. What is the hetewr for someone who can to refuse to defend Am Yisrael?