depends on how they defined "knowingly". DMCA clearly defined this, but without some specific legislative definition of what constitutes knowledge it's open to interpretation which is a dangerous ambiguity.

Perhaps I could send a message somehow to some Google exed to remove a bunch of links that are to illegal content, wait 2 weeks then claim that was sufficient notice for them to be aware of the content and therefore meet requirement #2.

To be fair, I didn't dig to see if this second requirement is clearly defined.

Search for just about any desktop software with the words "crack", "serial", "torrent",... and search engines will show results. Most of it will be virus-laden crap, but that's a separate issue. Same goes for all forms of digital media.