Especially in immigrant and queer communities, many people go by a personal or community name other than their English government name.
I understand that the First Name and Last Name fields make sense to be one's English government name especially for Petition forms, etc.
It would be nice to have a system field called something like "Alternate Name" (maybe it can be toggled on/off by the admin) that the Search Bar will search in addition to the classic Name fields.