The High Court's decision has no practical effect on the yeshivas. But it can bring down the government - voila! News.
The story now is mainly political. The spiritual leadership will not allow the heads of Shas and Torah Judaism to remain in the government if a legal solution is not found. The ultra-orthodox are very frustrated. For them, the recruitment was the main thing in the current government. But now it's over and they're trying to minimize the damage as much as possible.