I don't see any real effort to prevent people from displaying beliefs or dressing as they want. There is a very small minority seeking to ban the burka from all public places. They are extremists and not supported by the majority of UK citizens.
There are instances where covering your face, which provides a level of anonymity, is just not practical.
Just to be clear - the UK government have no specific legislation on the burka. They have stated they do not intend to impose any.
The law and the burka clashed when a court couldn't clarify who the person was wearing the burka. The law does state that it must identify the correct person to whom it is seeking to deliver justice.
The government here has made it clear that it intends to not meddle with dress codes. If a bank states customers will not be allowed entry unless the face is seen well then they see it as upto them.
There is another angle, though, and that is the media feeds we get suggesting that a lot of young women are forced to wear these garments and that their use is to oppress them?