I don't want to open myself up for litigation so I'll definitely put up a fight in this case.
If I am asked to accompany them to the dark room I'll just give up, unlock the laptop, hand it to them and then quietly inform my employer's legal team that a potential security breach has occurred (after I get safely to a hotel).
I really don't want to spend time in jail because of a nervous cop.
1.) Not allow my phone to be unlocked by fingerprint/face.
2.) Not carry USB sticks or similar portable storage devices on my person, to only transport them by courier.
3.) Not unlock my computer for anyone, including the police, unless directed to by our compliance office.
Or it's breach of contract and they can reclaim part of my compensation. I don't work on anything exciting, just Big medical data.
If you're not on their radar, being polite and forgettable is a great way to stay that way.
If you're already in custody, anything you say while being friendly can and will be used against you in court, so your vocabulary should probably be limited to the word "lawyer."
Some situations can be lose-lose. Best you can do is don't talk to the police, and if you absolutely must, say as little as possible and don't lie.
If you're afraid for your safety or they are clearly overstepping their bounds, then complying and fighting it in court is basically the only option (even though it's possible you still get screwed). Otherwise, knowing an asserting your rights can be good, but you have to hope the cop isnt unhinged, dirty, or totally incompetent.