Ok, verbatim from hy head and what I would probably say out loud: Ees-la...(stammer)...Eye-la...(stammer, again)
IRL, that would be followed with another stammer, followed by: "I have heard it pronounced both ways, which pronunciation do you use/prefer?"
The pronunciation of my own DD's name, Amiti, is not an obvious one to most either...it generally does not bother me as I recognize that even I do not pronounce it exactly right, i.e. the same way way as a native South Asian speaker would
... smae goes for my surname...eh, as long as I can cash my paycheck, it does not really bother me how one pronounces it!