What do あなた think will happen if the Benedict's Sherlock mets David's Doctor または Matt's Doctor?

Well, I think that Sherlock would be trying to find what kind of person the Doctor is and what does he do. The Doctor, however, would be all polite and bubbly, many by-your-leaves, and they would eventually become friends.

I think they'd argue constantly! They'd both be fighting and comparing; thinking that they are better than the other. It would be funny to see! :)

I think they'd both find each other extremely annoying and I think they'd argue like little kids but they probably start getting along later on. But that definitely sounds like a fun idea! :))

They all know each other and are friends.