Unfortunately muman, you do not understand Israeli society or the perspectives of the various religious sectors that live there.
Regarding Haredi participation in the IDF:
The Nahal Haredi unit of the IDF was created in 1999 for Chareidim who want to serve their country while adhering to the highest religious standards. Currently, the battalion is about 70 percent Chareidi and 30 percent National Religious. Since its inception, more than 2,000 soldiers have gone through Nahal Haredi’s three-year program. There are about 700 soldiers in the battalion at any given time
http://www.nahalharedi.org/
As judea pointed out, many haredim lashed out against Rav Shteinman for supporting this proposal, and I challenge you to find me among those who are considered "the gedolim" - support for nahal haredi for haredi Jews. Perception of Rav Shteinman certainly dropped due to his "audacity" to take a principled (and logical, reasonable) stance against the desires and common thinking of the ignorant masses, who would rather avoid the army and claim frumkeit as the reasoning. Of course, in my view, for his intellectual honesty and courage, Rav Shteinman's stature only increased.
VERY few haredim (compared to the population size of haredim) serve in these nahal haredi units, and those who do are considered 'outcasts' and 'failures' in haredi society. One who "makes it" in haredi society is one who succeeds at learning and stays in kollel long enough to forego military service entirely. If you "don't make it" it means you had to get a job instead because you either didn't enjoy the learning full-time and couldn't cut it because of that, didn't succeed at it as well as others, are not brilliant and/or not cut out for it, have a different point of view from the rest of haredi society and somehow value work despite the fact that your parents raised you to resent having a job as something second-class to kollel-learners, don't desire to live in utter poverty begging for money to feed your kids pay rent (begging from relatives, from tzedaka or whatever else), your hashkafa changed radically from that cookie-cutter extremist hashkafa of haredi society, or you became 'less frum,' or off the derech entirely.
The bottom line is, haredi society as a whole in Israel scorns this organization, and at most it is "b'dieved" not le'hathila. Meaning, one who can't make it in the kollels, or desires to work for a living against the grain of his societal upbringing, changes hashkafa in some other way, strays from how he was raised, or unfortunately goes off the derech and can't stay in yeshiva anymore, these are the people who then are "FORCED" to get jobs and in that case have no choice but to serve in the military. The Nahal haredi is the way to stay religious while serving. Or serve in a cultural environment more similar to what they are used to having grown up religious. And if they are really off the derech, it can be societal pressures and family pressure that causes them to serve in the religious units rather than just go join the regular army units. A compromise of sorts.
To have a job is considered second-class by most haredim.
Hesder yeshivot, which combine military service and Torah study, turn out 1,200 recruits each year—a 40 percent increase over the last 5 years (New York Times, 31 December 2007).
The IDF draws about 10 percent of its staff officers, 15 percent of its combat support officers and up to 40 percent of its combat officers from the National Religious sector.
http://www.ou.org/index.php/jewish_action/article/38157/
You said in this quote how much the IDF draws from the
NATIONAL RELIGIOUS SECTOR . And that is exactly the sector that fills the ranks of Hesder yeshivot. That does NOT address haredim. Hesder yeshivot have nothing to do with Haredi Jews. The religious zionists go to hesder yeshivot and then serve in the military. And their sector is the most patriotic in all of Israeli society, as recent polls show. (despite the fact that the state has declared war on them and wants to expel them from settlements).
The national religious (aka religious zionists) are a different group of people entirely than haredi Jews. The fact that they had to be called "religious zionists" is precisely because the haredi Jews (the majority of the religious) are antizionist, and so this distinguishes them from those "other" frum Jews we commonly refer to as haredim, and/or ultra orthodox Jews, who are against the state, against serving in the military, and in general against self-defense and most Kahanist principles. They have a watered-down galuth-based Judaism based mostly on personal piety and dress code. Many poisonous anti-Jewish notions continue to graft onto the haredi hashkafa and the disdain for jobs and army service are a few of them.