Is Jackson for everybody? Not at all, that's why we have the suburbs. That's also why the city went from about 300k residents to 180k from the early 90s to now. But for someone like me who works in downtown and has a wife in med school at UMMC, Belhaven is perfect. Also, having restaurants like Babalu, Rooster's, Brent's, Basils, Pizza Shack, Walker's, etc. is way better than your typical chain places (I know the suburbs have good spots, too).
Does Jackson have a million problems? **** yeah, it does. Is the new mayor a racist moron? Absolutely. But let me know you - I lived in a nice, historic neighborhood near downtown St. Louis for a year in 2011/2012 and feel much safer here than I did there. It's not for everybody, like I said, but a lot of people do love it (I'm only speaking for Belhaven and Fondren).
Side note: I do not speak for Belhaven Heights or anything directly off of North State Street.