The government of Minnesota is refusing to comply with federal law. In an ideal world, they would arrest illegals, contact ICE and ICE shows up to the jails to remove them. They refuse. So this is the alternative.
Since you asked, I will give you the respect of answering your questions. But I was serious about dipping out of here because these threads are so pointless.
My core disagreement is that you get this wrong right at the beginning. No "federal law" obligates the governor of Minnesota to "arrest illegals." That's a fundamental misunderstanding of Federalism if you think that. Minnesota enforces Minnesota criminal law. If an alien commits a crime, they will be charged under Minnesota law. If they are convicted, they will be sentenced and will serve that sentence in Minnesota. When they are done with their sentence, it should not be difficult for the feds to come grab them and deport them, unless they are wasting their time on other matters.
The federal government, not the states, is tasked with enforcement of the civil immigration laws. They are authorized to go into Minnesota and enforce them if they choose to do so, and Minnesota cannot obstruct this task. But under the anti-commandering doctrine, for better or for worse, the Federal Government cannot order Minnesota to do its job for it. This is the same reason the Feds can't force states to ban sports betting on its behalf (NCAA v. Murphy). Minnesota could help, if they wanted to, but they don't have to. That's federalism, baby.
Though it is in my opinion dumb and a poor use of resources, ICE has the authority to come look for illegal aliens in Minnesota. People who don't like that policy choice have the right to protest that decision. I do not see why this "alternative" has to involve ignoring the fourth (arrest/seizure), and fifth (due process) amendments to the Constitution.
Minnesota declared themselves a sanctuary city. Why are you OK with that?
To the extent "sanctuary city" means a city will not tattle on aliens without criminal convictions (which is what that generally means, and how I generally understand the Minn. policies), I do not believe that an alien who arrived here illegally, but who is otherwise contributing to the economy and obeying the laws, is causing much harm. So I just don't view these types of enforcement actions as a priority in anyway.
I am not "OK" with the status quo, but I believe the appropriate avenue is reforming our immigration policies to find a way to bring them into the system in a coherent way (which does not have to mean "blanket amnesty"), not brutalizing them and destroying their families and communities.
If you mean something else by "sanctuary city," then I don't understand the question. Having traveled and lived in multiple countries, I have no serious issue with the idea that if you go to another country and commit crimes, they will (forcefully) ask you to leave (after punishing you).
Minnesota is actively telling their citizens to get out and agitated. "War" was the term the governor used. Why are you OK with that?
This is simply not an accurate characterization of the situation.
As for Amash, he is a brilliant thinker and ideologically consistent. However, where I have evolved (specifically thanks to covid) is that, while I wish to uphold the law and live by the constitution at all times, the democrats simply do not share that. It is not possible to have a libertarian society when your opponent speed rushes to Marxism the minute they get in power (see Bidens border, or what is happening in VA). So now im on the side of undoing that illegal actions, so that requires a heavy handed immigration enforcement strategy.
I am sad to hear that you have fallen prey to the "we must destroy the Constitution of the United States to save it" way of thinking. Down that path lies madness.