To start with the less political: this is one of the best treatments I have read of rejuvenation. This is a rather low bar; I am comparing it with Robert J. Sawyer's Rollback and John Scalzi's Old Man's War, and a bunch of recent terrible Hugo nominees mostly in the short fiction categories. But I thought Hamilton's account rang very true: Jeff Baker's newfound youth totally disrupts his existing relationships, makes him even more of a celebrity than he already was, and enables him to shag every woman he wants to, particularly including his teenage son's girlfriend, who ends the book impregnated with their genetically engineered embryo. The biggest narrative flaw - and it is a big one - is that none of the characters is particularly nice.
On the political front, the book combines impressive forward thinking with a lazy Europhobia. Hamilton's depiction of how the internet might be used for political marketing and grassroots mobilisation is very impressive: this was starting in 2001, when he was writing, but that was still several years before YouTube, never mind Twitter. His description of the organisation of the anti-Europe demonstration at the end of the book is reminiscent of this year's events in Iran and Moldova (and like those, it doesn't actually achieve the desired result).
Hamilton's depiction of European politics is repugnant. His near-future Britain uses the euro as currency and has a Blair-like prime minister who is running to be president of Europe. But the restive population is chafing under the yoke of Brussels rule, and is finally invaded from the continent by shock troops arriving via Eurostar. The end of the book has the dying Jeff Baker in a live webcast (reminiscent of Princess Diana's famous 1995 interview) blaming Europe per se for his demise, without any apparent challenge from other characters or the author. As I said above, this is lazy stuff, barely more advanced than the paranoid fantasies of Andrew Roberts; it's a shame that Hamilton's interesting thoughts about the internal wiring of future politics are combined with a cardboard concept of the bigger picture.
This was obviously the wrong place to start reading Hamilton. I would be interested to hear recommendations of which of his other books to try, and also which to avoid.