This is how the Haredim would argue: 1. Jewish tradition, codified in law, has ruled that a woman cannot put on a tallit, and hold public prayer where their voice is heard by men praying. 2. The Wall is under the authority of the Rabbinate and the police there fore are obliged to carry out the law set down by the Cheif Rabbi of the Wall. 3. Women are permitted to pray at the Wall but in their own section, apart from men, and not publically since this is not in accord with Jewish law. 4. If the Haredim were not serving in the military, their prayers were just as effective in regaining the Kotel than was military action.
Kerry: Pollard's parole not related to Iran deal (Reuters)
from the article: 'U.S. Jews concerned over state of pluralism in Israel'