Frankly, my dear, I just don't give a damn!

Is there anyone else out there in the English speaking world that cringes whenever they hear that famous line as voiced by Clark Gable in "Gone With The Wind"?

For those not familiar with the scenario -
After years of torment, war, misery and tragedy during which Scarlet O'Hara has lied, cheated and destroyed the lives of people who loved her by her scheming and wickedness, she finally realises that if her husband Rhett Butler leaves her as he is in the process of doing, she will have nothing, she will be alone, friendless and unloved. She also realises how much she really loves Rhett. She begs him to stay, to forgive her (again!) and is full of remorse but slips back into her usual method of getting her own way by playing the sweet, helpless thing who has been victimised by life, and says things to him like "If you leave me, how will I cope, what will I do?" Tempted to stay, Rhett realises that Scarlet will never change. He can take no more, utters the famous line, after which he turns and walks away.

As I see it, if the emphasis had been placed on
FRANKLY, he is being very honest about his statement;
MY DEAR, I could see it as sarcasm;
I, he could be be advising her to tell it to someone who cares;
JUST, says how low she is on his list of priorities;
DON'T GIVE, represents inaction; and
A DAMN, this seems to me to be the natural spot for the emphasis to be.

In the movie, the emphasis was placed on GIVE. It is an expression that has become quite common. It has annoyed me for years. Can someone justify it for me, please? If I can rationalise it, it will cease to bother me.