Laws on reservations are quite different. They make their own laws. A lot of people will have to be released from prison because they are in there under state/county/municipal laws, which wouldn't apply to them.
Taxes are different. Land ownership is different. The united states has very limited jurisdiction.
And This includes the city of Tulsa.. the second biggest city in the state and 47th most populous city in the nation.
Realisticly what I see happening is Congress will have to officially dismantle the reservation. They plain and simple have to dissolve it. Non-natives aren't allowed to buy or rent property on native lands except under certain circumstances. The second most populous city in the state is on a reservation. That's kind of a legal disaster. From my understanding, this makes the entire city of Tulsa illegal, along with the rest of that half of the state.
I see some angry conservatives around the internet over this, Because the liberal side of the court pushed it, and it seems a little SJWish...but I kind of agree with the supreme court. The majority wrote (paraphrasing) that it isn't their job to do what Congress is too lazy to do. Congress would like inconvenient reservations to just go away, but the supreme court holds that congress needs to actually do their jobs. If they want it to go away, they have to dissolve it. It doesn't matter if it's politically difficult and inconvenient.
So we are probably about to see quite a fight happen not only internally within congress, but both democrat and republican, against the people. Because I can see lefty minded people being against dissolving a reservation, but statesmen and business minded people in congress, both GOP and D, are going to see how important it is to dissolve the reservation. They'll be forced to go against their own constituents, which they have been trying REALLY hard to suck up to. This will get very interesting. I see it hurting democrats way more than republicans, because left wing types of voters are going to be far more angry about dissolving a reservation than right wingers.
This happening right before an election could play right into Trump's hands.