I use a CH Pro Stick and CH pedals. I don't have a throttle stick. I have just four buttons and an 8 way hat switch, and a throttle wheel. Now I grant that you can use the hat switch for things other than looking around (flaps up and down mapped to hat up and down come to mind), but don't think this will be perfectly useable.
Again, the user interface of choice is to NOT need to use the keyboard at all. Ever in fact. It would be better if you had a virtual cockpit with working switches. You could use your head as your mouse pointer, look directly at the switch you want to push, and then have a button on your stick to activate the instrument panel switch you are looking at. That might even be MORE fun and than having a HOTAS setup.
Now the other problem with the Oculus rift is that it is stereo 3D, and each eye is a separate view of the environment, just offset a bit from the other so you get depth of field. The view is also highly distorted (walleye vision like your door peephole), but that is corrected back to normal by the glass lenses inside the goggles.
That means AH-2 has to be able to output video in that mode, and right now it doesn't. Pyro and HiTech will need to do some coding to enable an Oculus Rift mode.