Dr. Who has the legacy of a kid's show. IIRC the original epis alternated between sci fi and history (Aztecs etc), sort of semi-educational.
they keep threatening a female Doctor. I hope not.
Ok, that I will agree on, it certainly has the legacy of a kid's show. But it's evolved well past that in recent generations, and for the first time the Doctor is actually showing genuine romantic interest in his companion, in particular with Clara with that 'near kiss', which is proving the show is changing with the times and the social climate.
I for one welcome an American translation of Doctor Who, and would be delighted to actually play a role in the production myself. As for the inclusion of a 'female' doctor, for an Americanized version would you be against a 'cosmic couple' - a male/female Pisces like Doctor Who?
How about this - The American Doctor sometimes loses his mind, and his partner - a sentient and very self aware female cyborg who genuinely enjoys whatever the Doctor's presenting as long as he's there.... They become a time traveling duo with a funky open polyamorous relationship to represent the more liberated American sexual climate, and while the British Doctor prefers saving the world, the American version simply prefers touring space and time and tampering with timelines and sexuality and he accidentally antagonizes the British Doctor - WHEN he loses his mind - and becomes the Master in a cosmic case of Jekkyl and Hyde.
The 'Female' Doctor is Clara, a counterpart to the two very differently motivated males on separate continents. She is the cyborg, and she considers it her responsibility to help the American Doctor regain his sanity, because in general, she knows she needs both of them sane to really enjoy her life with both of them at the same time.
The 'polyamorous' relationship is - she's shared, intimately, by both doctors. they BOTH have to come to terms with their possessiveness and be ok with knowing this occurs.
There's clearly crossover stories to be told. But if we focus on the sometimes crass and selfish nature of an American based Doctor who appreciates the British aristocratic snobbery, perhaps there's opportunity for us to explore in ways never before imagined?
That way, the lady is merely 'acting' the part of a Doctor to get the real Doctors to get along.
Which really leads into a wonderful series of questions of: Who the heck is she?