I would love to be able to install my x86 desktop aps on my mobile devices, even on my phone! This is all I have ever really wanted from mobile devices.
Sure.. a lot of them will suck cramped into a small screen and a touch interface they were never designed for. But.. they would not be totally unusable when I really need them. If they weren't then nobody would bother with vnc or remote deskop on their phones!
If such an environment was common then new versions of applications would be developed to scale well to both small and large screens and to work well with both keyboard/mouse and touch interfaces. Proving it is possible I have seen some Android devices that do this really well on a lapdock when they switch between their phone and tablet modes. In the tablet mode they don't just blow up the same view, they have different layouts with additional controls enabling more desktop-like features.
This is how mobile computing should have played out in the first place. Blackberry and Symbian plus the later iOS and Android have been only a poor imitation of what could have been and have slowed down mobile development as all the wheels have had to be re-invented.
Over the weekend I had an opportunity to play with a friend's Intel Windows 8 tablet. It was nice using real, full featured applications for once. An x86 Windows phone would definitely tempt me away from Android although I would much prefer a Linux (as in real Linux desktop) phone. That did almost exist once. There was an alternative desktop named GPE which ran on old Zaurus and HP PDAs back in the day. It used GTK on top of X. Qt was available as a separate package. So.. pretty much any Linux software, if you had the source it could be built! It even had a phone dialer although I don't know of any hardware that the dialer could be functional on. Unfortunately the cross-compiler was nearly required a PHD to get working and there weren't enough tools included to build packages on the device itself. It would have been a mini-desktop if it weren't for that.
Oh.. also on my wishlist.. these desktop-software running mobile devices should have HDMI out and USB host. When it does everything a desktop does there is no reason we shouldn't be able to plug it in and use it like one when we are not on the go.
Additionally... there is no reason it shouldn't work with something like the Motorola Lapdock. Except.. there should be some upgrades on that device which Motorola never offered. How about a touch screen? Better speakers? And.. why not make that keyboard removable. Then it becomes just a bigger screen for your phone.. your phone is a tablet.. is a laptop. Of course you could still have the HD docking station so it's a desktop too! Unless you want an always on-server then your phone is the only computer you need!
This is how it should be. What we have now sucks in comparison.