Turing Test interviews.

That would be excellent wherever it's feasible. The way Gladwell tells it (so take it with a grain of salt), when symphony orchestras started conducting their auditions with a screen in place so they couldn't see the person playing the instrument, the fraction of female musicians in top orchestras shot way up.

However, in cases where the quality of in-person interaction is a major part of what you're trying to assess — like for a team programming environment — it's going to be pretty hard to do anything comparable.

It wouldn't be unprecedented. Symphonies regularly use "blind auditions," with the performer behind a screen, to prevent bias (typically against women). Blind auditions significantly improved women's chances of being selected, as related by Malcolm Gladwell in 'Blink'. Here's the original study he references:

http://public.econ.duke.edu/~hf14/teaching/povertydisc/readi...

But what about language pattern, vocabulary and dialects? What about university names or degrees if it makes companies favor those over others that are self taught. One can put this into an absurd chain of arguments...

A telephone interview will accomplish the same thing, and reduces travel expenses to boot.

In fact telephone, or skype, interviews for the first round is actually becoming standard in many fields.

No, that's not next.