We know that for cylindrical gears we have the standard DIN 3964 for defining deviations of shaft center distance and shaft position tolerances of casings. And for bevel gears? Is there some specific standard for defining deviations of center distance and shaft position tolerances of casings (orthogonal shafts), as DIN 3964 do?

No, not that president! I mean Matt Croson, the new president of the American Gear Manufacturers Association, who started in June and has been busy getting to know the gear industry and AGMA's members.