Steven Moffat, who produces both "Sherlock" and "Doctor Who" for the BBC says he isn't against the two characters meeting up.
The idea was put to him at Comic Con and his take was clear. ‘For the record… I have no problem with the idea of them meeting.’
Steven also reflected how the two iconic figures would deal with each other. ‘They’re very different. I’m not sure how well they’d get on…’ And asked how the Doctor would react to Holmes, Peter Capaldi’s answer was a simple, ‘More cleverly…’