"whereas Android again falls to the issue of being a Linux distro that has almost no integration with the majority of desktop applications or OSes."
You are completely wrong on that. Android and GNU/Linux plus all the applications can be fully integrated in to one OS. Android and Ubuntu is one such example.
https://www.youtube.com/watch?v=ZQozs5tXxwYFurther more, the Android and Ubuntu approach uses a desktop optimized UI when in desktop mode and another touch optimized UI when in mobile mode.
Regards.