I don't have any coding experience at all but if I understand this correctly we're looking for two distinct screens within one LCD, both part of the same Android OS, both able to talk to each other, both able to control each other. Essentially something along the lines of a Windows status bar with the start button and everything else.
I'd say this is definitively doable, what is going to present a huge, maybe impossible challenge, is that software written for actual computers takes the Windows bar in account when maximizing the screen. Software that covers the whole scren, such as games, take in account two other constants, the Windows key and CTRL+ALT+DEL. Since we don't have these constant we're stuck with what we've got... and the NC isn't a massively mainstream device to prompt someone to get to work.
I see dead phones, calling around just like regular phones.
My cell phone history: Ericsson GH788, Mitsubishi T200, Sanyo BAM 201, LG V111, Ericsson T28, T39, T68, T68i, Panasonic GD87, GD55, Nokia 3660, 6600, Motorola V525, A360, Panasonic X701, Palm Treo 600, HTC Blue Angel, Wizard, Herald, Kaiser, Touch Pro 2, Doubleshot MT4GS