I completely agree with you on this. I love imagining what it would be like if Beast Boy and Mikey were to meet. These two have always been my favorites for so long. I imagine if both sides were to meet, the others would probably say something like: "Oh great, we got two annoying dimwits with us." I imagine Raph and Raven would, of course, be the most annoyed. (Big surprise)
Still, I love this, I believe these two would get along really well, and would have each others backs.