Surely the Highway code should ban anyone covering their eyes while driving. If women are going to wear a burka driving they should be expected to take an eye test wearing it. This will include tests of field of vision.
I do not think we should ban anything, but we should make it clear places and circumstances where having your full face visible would be compulsory - just as motorcyclists take their helmets off. Going into public buildings, anywhere there are security constraints, including preventing crime, so if you went into a bank your face must be fully visible, also when using a cash machine, driving unless you have passed an eye test in the garment. Men who would wear their hoods up when walking do not do so when driving.
Those who wear the burka - wear it and accept that wearing it will restrict where you can go.