This is great, I just don't know why sometimes in the US everything is taken in the wrong way and everything has to be politically correct. We can make fun of ourselves there is nothing wrong and the more we accept the differences the easier will be to move on. And before anybody assumes I'm a white male, I'm a Mexican immigrant in the US.
But as for question, yes, we do say those things here. But I'm from the European mainland, and we do enjoy stereotyping each other. That has nothing to do with racism or bigotry, but with acknowledging and celebrating differences. I'm reminded of a comic that I came across around the time of the introduction of the Euro, and I saved it because I thoroughly enjoyed it: https://imgur.com/a/SmdkRLZ
So please, do not assume malice whenever someone points out cultural differences. Humor can be a connecting force, not just a dividing one.