The euro RFID (being developed by Hitachi for use this year, I've read) is, indeed, a dodgy issue (and i'm in favour of the euro in principle); to be fair, it's not as significant as embedding RFID in personal identity documents, because money itself cannot be bound to a single person after it is first spent. Arguably, they can also do the same by tracing credit card or debit card use, too.
Still very dodgy, though; I'm not sure it's necessary, or at least worthwhile in terms of potential privacy risk vs anti-crime (legitimate) use.
Don't be surprised if you see it cropping up in £ sterling, though; the Home Office has already invested £5.5m in a scheme to increase RFID chipping of household goods, under the auspices of burglary recovery. There's also talk from the supermarkets of placing RFID in loyalty cards - perhaps it's time to start wrapping wallets in tinfoil?
NB: it's been rumoured some new US $20 now have RFID incorporated; I'm not sure if that's ever been confirmed.