If I understand your description right, I think Prey (the Arkane one) does the same thing. It does feel pretty awesome and natural; really helps you feel like you're in a corporate world with touchscreens everywhere.
The new(-ish) Prey comes close, but if I remember correctly, it still sometimes locks on to the screen you're controlling, taking you out of the action.
In Doom 3, you're still in control of your first person character, which is awesome.
Try it in the demo linked above, if you skip the cutscenes you can find a screen within the first minute of gameplay or so.
