I think we need to establish why before we can answer WI, as those ramifications will determine the outcome.
I think you could possibly avoid it by earlier, more extensive manumission efforts south of the Mason-Dixon. Perhaps Jefferson's Anti-Slavery Proviso passes and ends (or vastly curtails, at least) the expansion of slavery west. Maybe if Virginia goes "free" MD and NC and Del follow, leaving an isolated Deep South that eventually either loses a "rebellion of 18xx" or surcomes to pressure and free themselves.
In this case Slavery's not (as much of) an issue (civil rights still are), but tariffs and industry and state/federal power remain bones of contention. Eventually the South will have to change or become politically irrelevent as northern economic/industrial might grows.
However, in the end States' Rights is a (perhaps the) huge issue, and not one tarbrushed by Jim Crow. Seccession is still not resolved and I expect a handful of "secession threats" by states over the years, a few serious, most just a political gambit, sort of the "we're serious!" card to any debate. I think it'd be much harder for the Fed to push things onto the states and we could see drastically different laws in the individual states. I'm unsure how strong and centralized the Union would be ITTL, probably somewhere between OTL today and the Union pre-war OTL.