No, it certainly does not.
The Islamic equivalent to the cross would be the star and crescent or Arabic calligraphy of the word Allah or of the Shahada. The burqa and niqab symbolize a strict fundamentalist strain of Islam, a portion of whose adherents are currently engaged in a highly deadly and disruptive campaign of terrorism against other sorts of Muslims, as well as non-Muslims, in West and North Africa, the Middle East, South Asia, Europe, and North America.
The garments are not symbols of oppression and intolerance only because many women live under mandate that they wear them at all times while in public. Many of the other beliefs that usually accompany the idea that it is a woman’s duty to hide herself like this are very dangerous. This horribly intolerant belief system is currently being manifested in various ways around the world, resulting in brutal oppression, mass murder, displacement, and widespread and extreme crimes against humanity.
Very many of the victims of this brutal system of life are hidden under burqas and niqabs. As are some of the perpetrators, just a few days ago women in Syria enforcing these strict modesty standards murdered a woman for breastfeeding in public.
So no, a burqa or niqab is not the Islamic equivalent of a cross pendant. As a potent symbol of religiously justified intolerance, it is closer to a Klu Klux Klan hood. The big different is that the level of violence and the amount of influence by the Klan in this era is minuscule in comparison to that of the strain of Islam represented by these garments. Of course another difference is the fact that those who wear them are at least as likely to be victims of the ideology they represent, as they are to be perpetrators of the injustices the ideology calls for.
It does. That’s why it’s important to be able to openly criticize it and say that it is a horrible system of beliefs on which to structure society.
No, I suggest we mock them, and spread doubt among their believers about the silly claims made by them, and resist all of their attempts to manifest the religions anywhere near pubic life. Christians have mostly gotten used to this treatment and adjusted accordingly, to society’s benefit.