Let me start with a disclaimer: I've never seen Dumb and Dumber. (Or if I have, I've forgotten about it.) I have no real context for this scene outside the 5-minute Google search I did to understand the reference. I wasn't impressed, but this isn't my kind of humor either.
I get it. Dumb and Dumber is probably one of those movies you like for the wrong reasons. We all have movies like that. So, looking at this picture, I'm trying not to get too mad. (And not just about the parrots.) I understand that the very premise of the question lends itself to the movie title. And hey, this gag might not even work because parrots don't have saliva (though their crop is another story...).
All I can say is this:
If anyone tries this with your bird, throw pop rocks at them.
However, I invite you all to leave a comment and tell us exactly what you think.*
Also, here's some nice movies that feature parrots.
* Remember though, this is a family friendly site, so no curse words.