I do not believe Google is the one to blame for the prevalence of piracy. Google is merely a search engine, like asking a librarian for a book on a given topic, the librarian goes to the card catalog or pulls from their memory and directs us. A librarian would not be at fault for directing me to a book about bomb making if I ended up making a bomb. However, the person who wrote the book (artist), the publishers (uploader), and possibly the library (distribution website) for shelving the book (hosting the material) could be held liable to some degree.
The request that Google take down the whole site from its search results is also preposterous, this would eliminate the display of results for non-copyrighted material on that site along with copyrighted material. The site itself is partially liable for the material it hosts, but ultimately they too are only offering a service which can be taken advantage of, as in the librarian example.
I do not blame the RIAA for wanting to protect its copyrighted material, otherwise why have a copyright? However, I think the RIAA needs a scape-goat and Google (the most widely used search engine) is fulfilling that role at this point, with much resistance. The real culprit is the uploaders, but since anyone can legally buy the material then illegally upload it, there will always be someone uploading as long as there is somewhere to upload to. Uploading is not the problem however, there are countless legitimate uses for uploading material to the internet, as too for downloading.
Ultimately the only way to stop pirating would be to filter each upload on the internet and scan for copyrighted material. Problem is, there are innumerable uploads each month and copyrighted material may be in any number of file formats thus making the task of scanning for copyrighted material so daunting it could not be done within the budget of perceived loss of sales. I say perceived because the courts have already ruled that a download does not constitute a lost sale; there are plenty of things I wouldn't buy unless it were free (essentially everything intangible) and as a result I utilize alternate paths of consuming them such as internet radio, which is not free since I pay for internet access and "pay" for the internet radio by advertisements but it is legal.
Just my two cents, feel free to agree or disagree.