I would oppose this purely upon the grounds of it being so poorly worded.
If it were less mealy-mouthed and was sufficiently up-front to use wording which matched its apparent intent - the banning of two out of three varieties of Muslim traditional headgear and nothing to do with the wearing of Guido Fawkes/Badger/Fox etc. masks on protest marches, fancy dress (masque-ball) masks, wedding/funeral veils or anything else - then it would overtly contradict pre-existing legislation against racially discriminatory behaviour.
The matter of whether or not it would be policeable/enforcable are somewhat moot, at this stage but also count against it.
Why not, initially, pass a law stipulating that a woman can not be compelled by another person to wear the aformentioned clothing items and allow time (a few years) for a proportion of them to voluntarily change their behaviour? At the end of this period, you should be able to get an idea of how many individuals who the burqha ban would criminalise, due to retaining the traditional ways, just by touring the relevant shopping district on the right day.
An obvious answer to that would be that this is also impractical because it places them in the same dilemma as the victims of physical abuse - that of having to press a charge against their own spouse which ultimately necessitates extricating themself from the family home, risking long term separation from the relatives they still want to maintain contact with and so on.
We would be forcing _major life changes_ on a minority popuation purely because some politician (and others like him) dislikes the inconvenience of conducting social interactions with people who deny them the ability to so much as recognise them from a distance. That wouldn't be right, imho.