The tourists and kiwis with old passports all line up in a giant queue, while myself and a few others walk up to some machines, scan our passports, have a quick photo taken, and then just stroll on in!
I've flown to NZ with just carry-on luggage and caught a cab within 10 minutes of the plane doors being opened.
So, yes, they do track you.
(FTR, my passport is pre-RFID.)
Just about any passport issued in the past decade or so has a machine-readable text strip on the photograph page. When the passport control officers take your passport they don't just compare your passport photo to your face -- they swipe the passport.
The RFID chip just allows them to store more data and get at it faster than the older machine-readable passports. The information that your passport (and its bearer) have arrived in country X is still available to country X's immigration database the moment you're past the checkpoint.
(Other risks of RFID passports include tracking or cloning, if the owner isn't keeping it in a tinfoil wallet or if the issuing agency's private key gets leaked. See also discussions on comp.risks passim.)