Rotate Display and Touchscreen by 90 degrees

Which Qt application are you planning to use? With Qt5 and Qml one can rotate in the Qml root window using:

    transform: Rotation {
        angle: -90
        origin.x: Screen.height / 2
        origin.y: Screen.height / 2
    }

See also this thread which has a demo application.

Rather than solve the issue on several different Software stacks (X/Qt) I recommend to decide on a stack and tackle the problem there.