I'm no expert but I think politics North of the border will remain quite different to politics south of the border for a long time yet to come. Even with the same party in place.If you check the current SF they evolved from the Provisional movement which split from the Official IRA because it was too "red" and not "green" enough.
I class that as a populist party that only has one fixed policy, "Brits out" whatever the cost.
No "left wing" party would agree to cutting corporation tax by culling public services, but in the North SF actively supported this as it would bring the North closer in taxation to the Republic.
At least I'd hope so because the cultures are massively different and will be until years upon years more of good news stories pass.