Before the show one of his crewmen said to all the people to keep their phones in the pockets, that the show will be profesionally photographed and the photos will be on the official Jack White site for everyone to download.
This helped immensely, and I'd guess 95 % of the people kept heir phones hidden and enjoyed the show. Yes, there still were some who recorded alllllll the songs, but that's their apparently their thing afterall, isn't it? I think this approach was nice, human, and worked very well.