You have never been accosted by police and assumed to be a criminal, especially in a country foreign to where you live? I think this experience would shed light on your question.
ICE is different from other police agencies. The "punishment" is deportation, which ICE insists requires no time in court in front of a judge to mete out this "punishment". And as we have seen with guy sent to the El Salvador gulag, "deportation" is not simply getting put on a plane back home. It means getting sent to a foreign prison or war zone (South Sudan).
So, you have a small risk of a catastrophic outcome when interacting with ICE. And you will have no recourse in court because ICE intends to make you disappear first. And for many Americans, this whole situation is an affront to American way of life (no due process, very nazi like behavior with the Florida concentration camp).
Lastly, the US is different from other countries because the states are partially sovereign. State law and federal law don't generally intersect and state/local police have no duty to enforce federal law. They aren't supposed to enforce federal law either. In other countries, there is typically a national police agency all police operate under and provincial governments operate under national law.