Okay, I don't think they'd like each other at first. In fact, they'd kind of hate each other. House is a medical doctor. Rodney is an incredibly annoying physicist.
But I think once they got over that point (though, knowing them, it would be a while), House would find Rodney's complete and utter lack of tact charming, and Rodney would admire House's ability to destroy the egos of the idiotic. Plus, Rodney would make House a really badass cane and House could translate some of Zelenka's more colorful phrases for Rodney to understand. The world would tremble in fear.
Of course, Wilson and John would be off to the side, sulking about how they're prettier. And quite possibly making out because it would be hot.
Also, I'm kind of in love with all of the people in betteronvicodin who are way awesome. I am totally psyched about this fest.