Plus it doesn't always work that way. If you're being detained, police are required to read you the Miranda rights before anything you say can be admissible in court, but the key word there is "if." Police officers, as a general rule, are more aware of this requirement than you are, and that's why they'll often avoid detaining a suspect until after they incriminate themselves in an unofficial (yet completely admissible) interview. You're not under arrest; you're free to go at any time. This isn't an interrogation; it's a friendly conversation. And you wouldn't refuse to interact during a friendly conversation, would you? Oh, you would? Why is that? Is it because, um, you're a murderer?
"A killer like you would invoke Sixth Amendment rights as guaranteed by the Constitution."
Even if this "conversation" does morph into an interrogation, that doesn't necessarily mean you'll experience Hollywood's most-echoed monologue firsthand: A study of police interrogations during the '90s found that more than 80 percent of suspects waived their Miranda rights -- just signed their protections away as nonchalantly as you granted Apple your everlasting soul when you accepted the iTunes EULA -- all to avoid making themselves look suspicious. Because those rights are for the guilty, and you're not some kind of murderer, are you?