Of all of the things for which southerners can be criticized, the accent is one of the most insignificant. When I first moved to southern georgia, I went through several stages about how people talked. Initially, it was quite pleasant - especially, the southern belles who sound almost erotic with their tendency to elongate vowels in the last word of a thought. Then I started thinking of the slow talkers as stupid. Then I realized some of those slow talkers were very sharp - and some fast or 'normal' talkers weren't. The idioms are sometimes grouped in with the accent, incorrectly. Once attuned, one can pick up differences between a georgia and alabama accent.
As an aside, one of the things I was completely unaware of before moving here is that many are still fighting the civil war.