Then what do they do when you refuse to speak with authorities or answer questions, like you said you are "obligated to"? Do they say "oh, gosh, you got us," and walk away? Or do they arrest you? At which point, aren't the first seven words they say "you have the right to remain silent"?

Do you think that we don't have the right to remain silent until we're arrested? Like, the Constitution says "the government can compel your speech as long as you haven't actually been arrested yet"?