Assuming that you mean Southern US accents (as opposed to Southern Ireland), I think they're liked here, so long as they're not being used to aggressively quote lines from 'Deliverance' .
Although Ireland's much smaller than the US in terms of size and population, it still has very definable regions. You may have noticed that the accents video referred to Cork as "The People's Republic of Cork", which is just a nickname implying that it's like another country. I don't know who's currently the butt of the jokes in the US (I'm afraid it was the Irish when I was in the UK), but over here they're told about the Kerryman. I could go on, but you get the idea.