NYC poker raid?

[Voltron87]

Really good post iceman, thanks.

One thing sort of contradictory: first " It is also NOT illegal to refuse to identify yourself to a police officer.
" So there's nothing wrong with not identifying yourself or having ID.

then: "They DO have the right to determine who you are if you cant prove it or wont tell them, which means you will be handcuffed and taken to wherever "

So if you can't confirm your identity they take you in? What is the point of it not being illegal in the first sentence? Or does that just mean you aren't breaking any law not identifying yourself, but they will still take you in, you just didn't make it worse by not saying your name?