The police officer never gave me a Miranda warning following my drunk driving arrest…

Generally not. Miranda warnings were intended by our Supreme Court to prevent suspects from making self-incriminating statements. So, if there was a deficiency in the Miranda warnings or no Miranda warnings, generally that only means any statement that was made by a suspect may be excluded from prosecution. Most DUI arrests result from an officer’s observation of driving patterns, or your faculties not being in order. So usually, the conviction or the prosecution is based on conduct, not statements.