You are correct. The human body REALLY prefers to break down ethanol much more than it does methanol. Alcohol dehydrogenase, the enzyme responsible for alcohol metabolism, has a strong steric preference more ethanol. As a result, if there is a greater concentration of ethanol compared to methanol, the methanol will quickly leave the body untouched. All alcoholic beverages contain a small portion of methanol in them. The concentration is high enough to be detected, but not compared to the concentration of ethanol it's not really toxic at all. Methanol itself is pretty much non-toxic. It's just that your body has this bad habit of converting it into formaldehyde which is REALLY, REALLY bad for you.
At emergency rooms, if they strongly believe that someone has ingested methanol, they will immediately introduce ethanol into their blood stream in order to flood the enzymes and help the body excrete the methanol as ethanol is a very good diuretic.