I think the sometimes awkward stereotypes serve as an important reminder how our society has changed and that we should introspect our own biases constantly - what are the things we are doing now that in the next 50 years might seem as shocking the Asian tenant in Breakfast at Tiffany's?
You can of course stop displaying or selling the movie all together if you really feel that bad. But don't try to cut around it to posture moral superiority but in reality you're only doing it to keep the money coming in.