The Soviets sought a settlement with Germany before Kursk, based on the 1939 borders, and it was rejected.
Had Kursk achieved its objectives in destroying the central Soviet armies and breaking through to encircle Moscow from the South, STAVKA would have been more keen than ever for a peace, but the Germans even more determined to win outright.
No change to the overall result IMO.
Duh-Hey?
Take Moscow? Even if the none of the Soviet soldiers in the Kursk-Bulge were to ever make it out/fight on with partisans (which would be pretty ASB, given how many did
exactly that even as early as 1941), the Germans chance of taking Moscow at this point would be nil.
I even have my doubts of the Germans being capable of permanently cutting off and destroying the Kursk-bulge given that the reserve military force that was the Steppe Army Front positioned well
East of the German-route-of-advance was not only even
more powerful of then the forces inside the Kursk Salient, but would also be in an absolutely
excellent position to smash through what would certainly be overextended German flanks at multiple points(given that the Germans would also have to guard against the still formidable military forces inside any Kursk cauldron as well).
Even worse, the Germans had absolutely
no idea that the Steppe Front existed.
The most likely scenario for a German Kursk Breakthrough would be that the Germans take Kursk, cut-off the forces inside the salient... then promptly find their breakthrough forces surrounded and suffer even worse casualties then OTL.
As a matter of fact, an outright German victory at Kursk appears to me to be the
least likely of scenarios.