AinOhd, with the exception of unaffiliated Jews, everyone I know knows their hebrew name. In all schools I’ve attended, in hebrew classes kids were called by their hebrew names EVEN IF they are called by their english names during secular studies.
Mod80, I know of people who had that same psak with a “non-hebrew” name that they were called by that as their Jewish name even though it wasn’t technically a Jewish name. [It was a hungarian name I think]