Placing Torah and Mitsvos ahead of army service is a tremendous Kiddush ha-Shem. THe world will see our faith in Ha-Shem, his Torah, and insistence of following his orders.
This would be true even if the Israeli army was glatt kosher (in fact, except for segregated units, it is very hostile to anyone following traditional halacha interpretations), and even if the zionist cause wasn’t clearly hypocritical (if they claim based on the claims in Taanach, how do they justify rejecting the Torah imposed as part of the deal giving Jews Eretz Yisrael – if they reject Torah, then where do they get any basis to go to war in order to drive the Arabs out of Eretz Yisrael).
We joined the army of Ha-SHem at Sinai (as volunteers, not conscripts). We have our commanding officer. We have our orders. And if Netanyahu, Lapid and Bennett think they can compromise our mission, they will be mistaken. Olam HaZeh is a war of attirition, and we’ve outlasted the Roman, and the Greeks, and the Crusaders, and the Nazis – and we’ll outlast Likud and Yesh Atid.