I find this comment you made on one of the Bob Dylan arrest threads interesting in light of the events you experienced.
“How refreshing. A “star,” who was being inconvenienced, who didn’t act like he was too good to cooperate. Amazing how he didn’t get arrested like Prof. What’s-his-name.”
Excellent.
Ouch!
Cooperation with the police is only mandatory in a very limited sense. The Supreme Court ruled, in Hiibel v. Sixth Judicial District Court of Nevada, that you only have an obligation to identify yourself and to provide supporting documentation for that identification. That's it. Anything else, and you have a Constitutionally guaranteed right to have an attorney present. If you exercise that right, you CANNOT be arrested for obstructing justice.
Incidentally, Dylan wasn't arrested ( a specific legal term with specific legal meaning). But, he was detained in furtherance to establishing his identity bona fides - which is perfectly legal.
If you believe yourself to be the subject of a criminal investigation, even a peripheral subject (to exclude just lending yourself as a witness to an alleged crime), I would never recommend speaking to the police without an attorney present - ever.