I think MS is going for cross hardware integration big time already. You can see it in some MS ads already. The ones I've seen are advertising W7 PC, but they have their MP7 and X360 shown and being used in the ads. I think if Sony sees MS as it's main rival in the console market then they need to be into the cross hardware integration as much as MS. That means integrating PS4, PSV, phones and tablets. PS suite for Sony phones and tablets, but there also needs to be integration with all Android phones and tablets. Sony will kill themselves if they try to shut out other phone manufacturers.
I'm not sure if Android will be the basis for the PS4 OS. But I think there will be something to make PS4 integrate with android devices. Sony knows now it can't allow Android device integration to be a piracy back door, and they know the risk because of the PS3 experience. But I think they'd be foolish to not work hard at achieving some kind of hardware integration.
If you could store and use Android APPs on PS4 that would be useful and a positive selling point to all those millions of Android phone owners. But only if they do it right. If they do it wrong and keep it all as exclusive to Sony devices then that would actually make W8 / WP8 and nextbox integration a very attractive and unique proposition
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