All the poll answers are black and white, and I don't think any really hit the mark.
You have to consider how the CSA would develop not being part of the USA - you can't project backward from how the former CSA states developed within the context of the USA. I see:
1. Less industrialization. The CSA was oriented around export crops, namely cotton and tobacco, and will need the income from these sources without access to Federal funding and for a time, Northern capital. European capital will have no interest in supporting industrial concerns. Rail building will be slower, and remember that the South used a different gauge than the North, so that won't be corrected as it was in OTL, and that will make trade oversees more economical in many regards than inter-American trade. Everyone seems to see the South industrializing, but I don't. You need capital, infrastructure, and industrial resources - these are not totally absent, but I don't see much impetus for restructuring the economy, and certainly not a highly centralized government that could accomplish it. No Northern capital for a long time, and no European that would be interested in promoting rival industry, and quite the opposite, pressure to continue development of the cash-crop economy.
2. More Jesus. If you consider how far the South drags the rest of the USA on this issue, imaging what it would be like without the countervailing force of the more secular parts of the country. The South will look a whole lot more conservative than it does in OTL. No abortion, no gays, creationism in the schools, and brain drain to the North.
3. Race issues. It's really hard to project how this will go. There is no chance slavery would still be around, but there is likely to be far less movement of Blacks to northern industrial cities, and thus a higher percentage of the population will be Black - and there will also be less White movement to the South. It could go different ways - without the shock of Reconstruction race relations might progress in a more healthy manner, as slavery dies a "natural" death and ends from within rather than without, or you could see "separate but equal" where Blacks are seriously disadvantaged. I doubt it could be South Africa-like Apartheid, but you never know.
People rarely discuss how the USA would be different in this case, or the Americas in general. The USA would end up being a lot more progressive, and certainly weaker as a power for a long time without the South's export commodities, not to mention manpower resources. The Monroe Doctrine will be a bit hobbled, and other Powers will be able to play both American powers against each other.
I don't think there would ever be reunification, and in the end, the USA will be a superpower, and the CSA a fairly signicant one, but probably more isolationist and insular. The population today of the former CSA states is about 98 million - I think it would be substantially less than that as a lot of that is drift from the North - particularly in Virginia, North Carolina, and Florida, and I suspect the CSA would be way more hostile and restrictive toward Latino immigration (There are around 13M Latinos in former CSA states). But with even half the population, that's still a significant country. Let's call it 70 million.
You might see a country with the economic clout of say Britain, but maybe less as I think the intellectual atmosphere will probably lead to a lot of brain drain.