Are burqas kosher?
To us the notion is bizarre that some Jewish women would cover their faces with their garments, in imitation of some Muslim women.
According to the blog "A Mother in Israel" who cites the source "Hadrei Haredim" that is what is happening in some neighborhoods of greater Jerusalem in Israel in 2010 (in Beit Shemesh, Jerusalem and Elad).
We can't say that this is a trend. But wow, these anecdotal accounts ought to wake up some of our friends who deny that there is a culture war going on in Judaism, and that we need to make clear that this behavior is by no stretch of the imagination a valid expression of Judaism.
So no, burqas are not kosher. They are not benign expressions of modesty. Wearing a burqa is an outright antisocial misogynist action of another faith that is rejected in all forms of real Judaism.