A Vodka Perception Issue

This is an old Russian joke. I have to apologize first. For some reason it is considered as "nasty, dirty and not funny at all" by some Americans. Ready, Americans?
- Hi man, I gonna bring some chicks to your place tonight, OK?
- Well.. Are they goodlooking?
- You bet! Especially if you drink vodka..
Evening. The doorbell rings. The 2nd guy opens the door. Looks briefly at the girls, slams the door shut with the words: "I don't drink vodka that much"

 

Ha!

I would alter the punchline though to;

"I can't drink that much vodka!"

 

Well, this guy wasn't good in English at school, I think. Thanks!