UndercoverMan saidThe question is: Am I REQUIRED to speak to any officer at any time just because he wants to question me or am I allowed to ask for an attorney to be present at ANY point during ANY interaction with the police?
You are never required to speak, though in some locales you ARE required to consent to a testing of your blood alcohol (because there's "implied" consent when you obtain your license, which is a privilege and not a right).
You can request an attorney at ANY time. But you will NOT get any attorney at ANY time. The cops can still arrest you if they have probable cause that you committed a crime or were about to commit a felony. You'll be booked. At some "reasonable" point, perhaps a couple hours later, your attorney will be standing before you. It's not instantaneous, and they can take you into custody, book you, and inventory your vehicle while you're "request" is pending.