Watched the show, really interesting. I personally think that these "Artilects" would probably spread rapidly, as all it takes is one of them to connect to the internet, and it could distribute itself to billions of computers and servers around the world in pieces, so that even if you destroyed it (yeah maybe a little OTT but it could quickly become clear that human co-operation was not in it's long term plans- see below) it would survive in other forms, perhaps using cloud computing to achieve control of important infrastructural networks.
The way I see it is, once the first one of these things is built, then Moore's law no longer applies and the rate of progression will be exponential, not geometric, as the machine will be able to design others 1000s of times more complex and powerful. It truly is frightening, because to this race we might seem like nothing more than a little insect you would swat as an annoyance, as one of the guys in the film pointed out. I'm all for the advancement of computing technology, but as far as I'm concerned the real power (i.e. the descisions) should always be human at some level. Also if you could live on as an AI after you died, what kind of life would that be? Someone could just come along and format you and then you'd be gone.