The accepted stereotype that Mexicans tend to be sloppy and emotional when really intoxicated led to a category of intoxication that can be applied to anyone who meets the criteria of being extremely intoxicated and emotional.
"My uncle is fully Dominican but if this man gets crazy drunk calling me cryin at 4 in the morning he is Mexican drunk."
When, to settle a disagreement, two or more people see who can drink more alcohol (usually shots or beer). The person who stays the most sober the longest wins.
"Madison and I couldn't agree on when to go see the movie so we had a Mexican Drink Off."
"Tony and Luke had a Mexican Drink Off to see who got to ask that new foreign girl out."