In support of jasonwocky's comment - this is always worth a watch if you haven't seen it: http://youtu.be/6wXkI4t7nuc
My opinion -- people who are smart often think that they know more than police. They may, possibly, but they definitely don't have the training necessary to predict how their statements (even if innocent) can be twisted to imply whatever the prosecutor wants.
Without saying too much here, let's just say I wish I'd seen this video in, say, 2002 (well before it was made).
(The Bill of Rights is a specific set of rights enumerated to _limit_ the government, it is _not_ an enumeration of rights granted to a person. The Declaration of Independence and US Constitution are powers extended from the people to the government at the people's pleasure.)
Having said that, I said "ostensibly." I mean that US Code and jurisprudence are convoluted. Immigrants or tourists are especially at risk: deportation, or worse, a one way ticket to Guatanamo. This is absolutely in violation of the Constitution and Bill of Rights, but the US Government is currently trying to lie and deny and bluff its way around those founding documents.
In my opinion, the attack on immigrants/tourists/foreigners (hi, NSA) is an attempt to gain prima facie precedents that will then be extended to regular citizens. Case in point: wiretaps, drones, and US citizens held indefinitely without a trial. I am a US Citizen but I defend your rights because it's only a matter of time before it will come back to me.