It is a lot more nuanced than that, and its affects could easily extend to a a plethora of other factors, essentially anything that is not covered by federal government, which is most laws that effect people on a day-to-day basis.

Sales tax, state/property taxes, pretty much every traffic/driving related laws, and local ordinance to name a few.

I could not pay my state taxes this year. Who is going to say anything about it? The "state", which has no jurisdiction? Do I want to drive 85 MPH in a zone that the "state" said I am only allowed to drive 35 MPH in? The federal government doesn't set the speed limits, their is no governmental authority to enforce that I must abide that law, and I could site this case in court if anyone said otherwise.

Am I in jail for being found guilty for the case "Oklahoma v. John Doe"? That authority does not exist where I am or where the crime was committed. The case would need to be re-tried under either tribal law or "The United States v. John Doe", but is this not double-jeopardy?

I don't have the definitive answer for any of these scenarios, but all the implications for them now exist, and there is grounds for each of these to be challenged in court. I am not claiming these will all be the case, but Pandora's Box may have just been opened. A decade ago I might have said "that would never happen", but I am well beyond thinking anything is impossible at this point.