ZDad: the problem with that approach is that the IDF is a moral sinkhole and Zionist “acculturation” and “deJudaization” tool, and that the chareidim were in Eretz Yisrael long before Zionism got there.
So the Zionists have no business in making the Chareidim serve in their army (especially since their army is only “necessary” because the Zionists decided to pick a fight with the Arabs so they could have their State, against the explicit wishes of the chareidim already living there who lived peacefully with the Arabs).