Many Americans think that if the CSA won the Civil War, slavery would survive into the present day, and we'd have blacks doing all our chores. Nothing could be more wrong.
First of all, the cotton trade-the main reason slavery existed-would not always be favorable to the CSA. While the British tactitly supported the Confederacy, within five minutes of the CSA gaining independence, they'd realize (1)they still have plenty of cotton from India and Egypt and (2)nobody wants to trade with a country that utilizes slavery. With the collapse of the cotton market, owning slaves would no longer be economically viable. I think that by 1900, the vast majority of blacks would be emancipated. As for the Confederate Constitution, it didn't guarantee slavery-it simply said that the central government had no right to interfere. It didn't say anything about state governments. I believe that as slavery dwindled, the state governments would see the futility of continuing the practice and pass anti-slavery laws.
Equal rights may be harder to obtain. I don't see blacks gaining equal rights any earlier than five decades after the CSA's independence. However, white racism may be lessened slightly by the abscence of Reconstruction. Blacks may gain equal rights in the 1920s or the immediate post-WWII era as a reward for military service. Of course, it may take a reworking of the Confederate Constitution, but it's doable.
In conclusion, get your head out of Kevin Willmott's* ass and see history clearly. Slavery's days were numbered, and a Confederate victory would have only delayed its end.
*Kevin Willmott is the direction of C.S.A., a "mockumentary" smearing the CSA by claiming that a victorious Confederacy would simply hold on to slavery forever. The film is less a work of art and more propaganda for the official, politically correct version of history.