It is clear that a woman can don tallet and tefillin. However, for a woman to make a braha on things she isn’t obligated in is dangerous and halakhically faulty because it implies equal obligation.
Women are not obligated equally, and WOW is primarily made of non-Orthodox women who are seeking to impose an ideology which isn’t even welcome by many Israelis.
They are also funded by the New Israel Fund, the same crowd that finances all sorts of Arab initiatives, anti-Israel programs, pro-Rabin commemorations, etc. This in and of itself indicates that this is a political stunt which can very well be undertaken in order to weaken Diasporan-Israeli ties.
When will WOW fight for the right of all Jews and other faithful non-Muslims to daven on Har haBayit?