The Burka is a Rejection of Female Objectification
The burka is not a tool of the patriarchy. It empowers women and is a clear rejection of the objectification of women as sex objects. In many Western societies, women are under intense social pressure to look a certain way. They are scrutinised for their appearance, makeup and clothes in the street, in the office, and on social media.
It is hypocritical for the same women who wear high heels, skimpy skirts and striking lipstick simply because the patriarchy wants them to look a certain way, to call a burka sexist and a tool of the patriarchy. These women are doing exactly what the patriarchy expects of them; turning themselves into a sexual object. 
Bans Replace one Form of Repression With Another
Even if we accept that the burka is inherently repressive and is little more than a symbol of the masculine desire to exert dominance over a women, banning the burka simply replaces one repressive mechanism with another.
Muslim women may feel more housebound by the ban. They may not want to leave their home without a burka but face a fine if they wear one. This would have a far greater repressive effect on females than the clothing piece itself.
True gender equality would allow women to wear what they want. If they want to wear a burka because it empowers them, they should be permitted to do so. Banning a female from wearing a burka is just as repressive as forcing a woman to wear a burka.