Since we are stepping into a whole new territory, this is a fertile ground for new solutions.
My opinion is that a combination of two approaches is the best way to go:
1. Manual real-time controls - physical control - rings with assignable functions
2. Other camera settings, clip navigation - touch screen with a display no smaller than current one. It doesn't matter that this solution is seen in consumer world - all the features which don't require real time manipulation should be controlled this way, with an ability to customize shortcuts. Multi-functionality is essential in this form factor.
Also, settings which don't require precise control could be manipulated with touch screen sliders.