No, not even close.
In Canada, we don't even consider Listerine as something that contains alcohol. To us, any beer under 5% alcohol content is something for small children and the elderly. Much of our distilled hard liquor isn't only too strong for Americans, it's considered a hazardous material if not a chemical weapon.
Listerine doesn't even qualify as a cleaning solvent here. If a Canadian wants to get a buzz and can't afford alcohol, he / she will just drink straight gasoline. It's less potent than our whiskey and doesn't taste as good, but it's better than mouthwash. And mouthwash is better than American bourbon!