You've missed one important aspect. The religious soldiers have Rav Ovadia Yoseph, and Rav Eliyashiv as their commenders, and not Ehud Barack. The more religious serve, the quicker Israel will become a religious state. So now you see the reality, its the government of Israel that does not want the heredim to serve in the IDF, its not the heredim them selves.
Judge orders Jerusalem Gay Pride attacker to undergo psychiatric evaluation (Haaretz)
from the article: Has the IDF become an army of settlers?