I definitely agree Moffat has overdone it with "Doctor Who" lines. But this time it works, since from my interpretation it's meant to be a play on people who think the character actually is named Doctor Who, as opposed to Moffat's usual inserting the title of the show into dialogue just for the hell of it.
But, yeah, before Moffat, actually having Doctor Who spoken in dialogue on the show was a rarity. I remember an interview with Mark Sheppard where he considered himself part of the privileged few because he got to say "Doctor Who" in character on screen. Ironically since then it's become such a regular occurrence that it's hardly notable anymore. Hell, despite how rare it might have been prior to The Impossible Astronaut, Sheppard was still one of three actors in that very episode to say "Doctor Who."
Eek I had all but forgotten that till I read this post .....
It's a bit off putting watching it on screen. Then series 6 onwards with the secret that shall not be mentioned, and the general wankery of the Doctor's name being used as a plot device.... As if they'd ever reveal that one. It felt wanky.