I have now consulted with two very helpful and erudite/experienced WikiTree mentors and they have confirmed that I and everyone else on WikiTree seem to have an insoluble problem unless either the programming connected with privacy/profile levels is changed or we have missed the obvious. Unless advised otherwise by anyone we don't believe we have missed the obvious and this issue can only be resolved by some generic program changes to WikiTree's profiling and privacy system settings.
My current privacy level is a "yellow" icon which restricts viewing of certain information such as the "prefix, middle name and full birth date". So basically it means that there is no way to display exactly what you see in the public view and what you see in the private view because it is determined by the "WikiTree system settings" and not by our personal choices. Thus one of the names displayed is frequently "wrong" if you have a middle name or preferred name etc.
In my case the public view is wrong as it discloses me as "Mr Bill W. Fairclough" and the private view is right as it discloses me as "Mr John William Percy Fairclough". Maybe a bit of reprogramming is in order unless someone can advise how to resolve this issue.