an Idea.
It is more than likely, that Muslim Women who wear the Burka in the UK, are not employed because there is not many company's, that could employ them for various reasons.
So as there are many vacancies for supermarkets, and other outlets needing filling, and not requiring professional qualified staff, why cant the Government stop Job-seekers-allowance, to those Ladies who wont remove them.
As this is not an Islamic Country yet! Why should there be a problem?
http://www.express.co.uk/news/world/716211/Bulgaria-bans-the-burka-fine-for-those-who-flout-law