That's not quite how jurisdiction works. County sheriffs aren't shot at the border when they attend state court (in another county), but they don't have jurisdiction so they can't act as a law officer (e.g. arrest someone) in a foreign county.
But, I agree that when the local police / national guard support / collaborate / conspire with ICE employees we are more likely to see a miscarriage of justice that goes unaddressed as the most likely outcome.
You sound like Humpty Dumpty:
Using words that far outside their dictionary or conventional meanings is a not a path to clear communication.
Separately, I checked, and I can no longer find the map of ICE jurisdiction that I was remembering, and as far as I can tell ICE's current jurisdiction is anywhere federal law applies, including Oklahoma. So, I was definitely wrong there.