I think the arguments for and against a ban on the wearing of burqas are complex. The Quran does not enforce women to wear burqas but encourages them to be modest in their clothing Wikipedia provides the following translation from the Quran.
The Quran has been translated as stating: "O Prophet! Say to your wives and your daughters and the women of the faithful to draw their outergarments (jilbabs) close around themselves; that is better that they will be recognized and not annoyed. And God is ever Forgiving, Gentle.".
Another verse in the Quran is translated as:
"And say to the faithful women to lower their gazes, and to guard their private parts, and not to display their beauty except what is apparent of it, and to extend their headcoverings (khimars) to cover their bosoms (jaybs), and not to display their beauty except to their husbands, or their fathers, or their husband's fathers, or their sons, or their husband's sons, or their brothers, or their brothers' sons, or their sisters' sons, or their womenfolk, or what their right hands rule (slaves), or the followers from the men who do not feel sexual desire, or the small children to whom the nakedness of women is not apparent, and not to strike their feet (on the ground) so as to make known what they hide of their adornments. And turn in repentance to Allah together, O you the faithful, in order that you are successful" So, although I can see where the concept of the burqa comes from, I don't see that it requires the part of the face below the eyes to be covered. It is that part of the burqa which many find disturbing. There is also the fact that the Taleban have a history of enforcing women to wear burqas, and that enforcement together with the Taleban history of preventing women from an education gives the sense that women are being treated as chattels.
So there is in my mind no satisfactory answer. On the one hand there is the fundamental right for all people to follow their beliefs and principles. On the other hand, I am against women being compelled to act against their choice because their husbands or leaders force them to.