Jackson at Mine Run will lead to a Second Chancellorsville at the least, in that Meade's flank was open and Lee had already put into motion a movement to hit when Meade withdrew. It's also entirely possible that the Bristoe Station Campaign could lead to the destruction of the Army of the Potomac or a large portion of it; Jackson was pretty good at the sort of turning movements Lee was going for in that campaign.
Getting a Second Chancellorsville requires a Joseph Hooker who freezes when things go according to plan. Replacing Early with Jackson does nothing to stop Meade from withdrawing during the night before the scheduled attack.
Jackson was good at turning movements, but Meade showed he was very good at avoiding turning movements. The battles of the Bristoe Campaign consisted of overaggressive Confederate Corps commanders attacking without support, stubborn defense by the Union forces, and Union withdrawal before the rest of the Confederate army could come up. Jackson might have been more aggressive than Ewell or AP Hill, but that would have resulted in little more than higher Confederate casualties. There was no chance that the Confederates would be able to destroy the Army of the Potomac or even a large portion of it - Meade was too determined to crack under pressure and too canny to make a blunder that would give Lee the chance to destroy the Army of the Potomac.