I kind of get it, but you also have to realize that sometimes it may not be intentional.  You don't have to talk to too many people in Alberta before you realize how much the Newfoundland accent has penetrated here.  Having a Newfoundlander wife and a few friends, it has changed my own way of speaking, especially when I'm around them.  "Three" suddenly starts sounding like "tree" and I catch myself saying "bo-de-ye" instead of "both of you."

On the other hand, if they decide to go all Bob Marley on you just because you're Jamaican and they think it's cute to do a bad accent, you should probably rip their head clear off.