As long as there is no Halakha law that allows Haredi Israelis to join IDF we won’t see it happen. The way to get the Haredi community drafted to IDF is not by state law, it requires a perceptual change.
The issue of Haredi Israelis not getting drafted to study Torah, or evading the army as the secular public refers to it, has been a hot topic within Israel for more than a decade. It comes down to, as disagreements tend to be, to different points of view that create a collision and amount to resentment, distance, misunderstanding and especially no results.
Most non Haredi (i.e. religious, traditional, secular and all the wide range of Jewish communities within Israel) will say the Arabic threat is so acute, present and immediate that joining IDF, protecting Israel by military force is the biggest and most meaningful service one should complete. In fact, a large percent of people from these non Haredi communities consider being a soldier in IDF a national duty and support the mandatory drafting in Israel.
According to Haredi belief the Jewish people must learn Torah at all times, if not – the world will come to its end. The phenomena of studding Torah instead of providing ones family, paying taxes or serve the army is actually legitimate among the Haredi community; according to an ancient packet, still valid by Haredi law, between the tribe of Zebulun and the tribe of Issachar, a mutual symbiosis is suppose to be between those who study Torah and those who provide for them.
As Haredi Israelis do not consider the state of Israel as an authority, the Tal’s law will not be efficient in any way. As long as there is no Halakha Law that orders Haredi Israelis to join the army, no Haredi will dare to do so. A change in Halakha orders will only be achieved by a groundbreaking change in the rigid stands taken by the different sides. As do most disagreements, this issue requires a new kind of dialog, being conveyed through a common language between the different points of view.