Just like in real life, there's nothing you can do about culture-shifting an entire province/state. If you're lucky and can get 0.5% of the population of a state to be both bureaucrats and a primary/accepted culture you can grant the colony full state-hood. This has the benefit of allowing you to build factories in that state, as well as the downside of factoring the literacy of that state into your whole population (which slows don research).
Its honestly just best to sit on your new gains and soak up the free RGOs and manpower. Your NF efforts are better spent elsewhere