Too many assumptions.
For one thing, even as simple a religious need as Kol Isha, the army is forcing religious soldiers whose rabbis forbid it and forcing these religious soldiers to listen to Kol Isha. From an army choir of girls. If they cannot accommodate something as simple as this, you must realize all the more serious violations they are imposing on religious soldiers.
And many are of the halachic opinion that any participation in the organs of the Israeli government is halachicly forbidden altogether.
And even those who don’t subscribe to that, they strongly hold that Limud Torah takes precedence over national or army service.