That's never going to happen at Apple. The iPhone fills a certain need, but it's only 1 phone.
Apple has filed suits, but I think they did that because they genuinely feel that they have been wronged. Steve Jobs seems quite indignant about the way Samsung's products rip off Apple's so shamelessly.
Also, as you point out, Android products can be made by many different manufacturers. So even if Apple sued HTC, Samsung, and Moto out of business overnight, other mfgs would take their place and make Android devices. So, this doesn't really make sense as a ploy to litigate Android out of existence.
By the way, I'm only trying to suss out why Apple is doing what they're doing. I don't agree with the content of their suits, and furthermore I think Apple's products are strong enough to compete on merits, so the suits seem pointless.
One last thing that's been bothering me: Can we, collectively, decide on what the situation between iOS and Android is please? One month Apple is doomed and Android is marketshare king, the next month Apple are big bad monopolists dead set on snuffing out the little guy.
Apple's one device works well for non techies... in fact out of the non-geeks I know, it's about split between Android and iOS devices - the folks with iOS say they have an iPhone. The others say they have a Samsung or an EVO.
I think the "one device" works pretty well.
In addition, those handset makers (as well as the countless patent trolls) are busy filing their own infringement suits against Apple (and others...) As much as it sucks for innovation, this seems to be the norm rather than the exception these days...
Actually, much of the industry does just that, or used to. A good example is Cisco, who only uses its patent portfolio for defensive purposes.