Not really, because it wouldn't. You don't see Apple going after WP7. Nor WebOS. Yes they are small competitors but that's only because Android is free and established, if there was no Android, they would pick up the slack quite quickly. Apple has a specific problem with Android because of the level of insider information Google had on the iPhone project at the time Android was being retooled into an iOS competitor.
Microsoft's schtick was embrace, extend, extinguish which was a much more two-faced policy and evil policy. 90's Microsoft wanted to own everything and control everything, from the lowliest embedded device to the most powerful servers in the world, from desktop PCs, to mobile devices, to the internet in general, you name it. If it was related to computers, it should run Windows, browse with IE and Microsoft should receive a license fee for it.
Apple has no such desires now, and never really had them in the first place. 90's Microsoft was genuinely malicious. 2011 Apple on the other hand just doesn't like Android and has a serious problem with how it was conceived. IMO because it repeats so perfectly the mistake Steve Jobs made when letting Bill Gates get so close to Apple. True, they maintain more control over their devices than Microsoft ever did, but they don't have the "100% control of the entire market in all aspects" aspirations that Microsoft had. It's just a completely different situation.