Dates should be annotated as such and rendered according to your browser's time zone and formating preferences. Don't blame the other culture, blame your inept communication medium.
I dimly remember trying this five years ago and it being a bit of a mess. IIRC it was that date picker widgets in browsers presented in a different format to what the Accept-Language header suggests (a killer when you're trying to render static and editable dates in the same table), or users were confused seeing dates in their preferred format after being linked from a site that disregards them, etc. Perhaps the situ…
That way if neither option is exercised, it's still just text.