Your pic must have a fez! Fezzes are cool. He wears a fez now. lol (inside joke)
It's true that most fans have THEIR doctor. Mine is Matt Smith's Doctor and my fave companions are the Ponds and Doctor Donna. There are schisms like Tennant fans are pretty rabidly Tennant. Classic Whovians are less fond of newer Doctors. And newer fans might not know the older Doctors. The most recognizable Doctors are probably Tennant, Smith, Tom Baker and William Hartnell. But If you want to do something that will please everyone, the TARDIS is the way to go. Most marketing focuses on the TARDIS because we all love her and she is a relative constant that doesn't change too much. Even the Sonics change. Christmas episodes are a staple on Doctor Who so maybe a TARDIS at Christmas? Hope that's enough random info for ya!