For me, my "hate" for the Lakers and Yankees are very different. My "hate" of the Lakers is born out of respect for their greatness during the 80s rivalry. Although, I never have liked (and never will like) Kareem - what a freaking whiner. Kareem is probably my second least favorite player ever, only behind Bill Laimbeer.
I'm not as big a baseball fan myself, but I have much less respect for the Yankees. So in that sense, the Yankees don't even deserve my "hate."
As long as Boston is there, I look forward to see the Lakers in the Finals because a championship isn't really a championship unless we Beat LA. With the Yankees, I'd be perfectly happy to see them wallow in irrelevance in last place every year.