You are correct that Crane Wing does not work with the quarterstaff.

The Quarterstaff Master is an archetype not normally part of the Monk class in pen and paper Pathfinder thus suppport is limited.

That said, there is a great feat in pathfidner that should be in the game:

Quarterstaff Master (Combat)

You can wield a quarterstaff as either a two-handed or one-handed weapon.

Prerequisites: Weapon Focus (quarterstaff ), base attack bonus +5.

Benefit: By employing a number of different stances and techniques, you can wield a quarterstaff as a one-handed weapon. At the start of your turn, you decide whether or not you are going to wield the quarterstaff as a one-handed or two-handed weapon. When you wield it as a one-handed weapon, your other hand is free, and you cannot use the staff as a double weapon. You can take the feat Weapon Specialization in the quarterstaff even if you have no levels in fighter.

You can ask for the feat to be implemented using the alt+b report option in the game.

In my opinion it should be in the game as crane style and Quarterstaff master both come from expansion books (Ultimate Combat and Ultimate Magic respectively).