BS”D
It is also only recently when you had such a paper and computer trail that the dual name became a problem for those of us who want to use only our real names. I am in a foreign country where I can call myself what I want except at the bank and airport (and I bank electronically anyway) so that is what I do. My leases are all in my real name; no one cared to look at my passport to find my civil name.
To go back and change my US papers is a headache and I was advised not to bother but rather to do what I indeed do and use AKA in very formal situations or to file a sole proprietorship certificate (civil name dba Hebrew name) so as to be able to accept cheques under my real name (no issue – anyone who pays me in the US does so online to a corporate account).