In this timeline, as a result of the Compromise Tariff failing to pass Congress in 1833, the Nullification Crisis devolves into a early, but brief American Civil War with South Carolina trying to secede from the Union. The attempt obviously fails and South Carolina is placed under military occupation. It's state government is removed and probably faces charges of treason, facing either execution or a life sentence. A military occupation takes place for a few years before a compliant state government is instated and is readmitted to the Union.
In essence, secession in rebellion to the federal government has been attempted earlier and failed earlier than in our timeline. The precedent has been set.
However, since this war was over taxes and not slavery (and Andrew Jackson not only owned slaves, but was a slave trader earlier in his life and attempted to silence abolitionist newspapers), the institution of slavery is left intact.
With that being said, how is slavery resolved in this timeline, since the writing is now on the wall for anyone who dares to attempt to secede from the Union? Would it result in a second, longer and bloodier American Civil War or would the institution die a gradual death in the United States?